Selected 8-digit numbers (10000001–99999999)

• 10077696 = 6⁹
• 10609137 – Leyland number
  Leyland number
  In number theory, a Leyland number is a number of the form xy + yx, where x and y are integers greater than 1. The first few Leyland numbers are...
  
  
• 11111111 – repunit
  Repunit
  In recreational mathematics, a repunit is a number like 11, 111, or 1111 that contains only the digit 1. The term stands for repeated unit and was coined in 1966 by Albert H. Beiler...
  
  
• 11436171 – Keith number
• 11485154 – Markov number
  Markov number
  A Markov number or Markoff number is a positive integer x, y or z that is part of a solution to the Markov Diophantine equationx^2 + y^2 + z^2 = 3xyz,\,studied by .The first few Markov numbers are...
  
  
• 11881376 = 26⁵
• 12960000 = 60⁴, (3·4·5)⁴, Plato
  Plato
  Plato , was a Classical Greek philosopher, mathematician, student of Socrates, writer of philosophical dialogues, and founder of the Academy in Athens, the first institution of higher learning in the Western world. Along with his mentor, Socrates, and his student, Aristotle, Plato helped to lay the...
  
  's "nuptial number" (Republic VIII; see regular number
  Regular number
  Regular numbers are numbers that evenly divide powers of 60. As an example, 602 = 3600 = 48 × 75, so both 48 and 75 are divisors of a power of 60...
  
  )
• 12648430 – hexadecimal C0FFEE
  Coffee
  Coffee is a brewed beverage with a dark,init brooo acidic flavor prepared from the roasted seeds of the coffee plant, colloquially called coffee beans. The beans are found in coffee cherries, which grow on trees cultivated in over 70 countries, primarily in equatorial Latin America, Southeast Asia,...
  
  ; used as a placeholder in programming.
• 12988816 = the number of different ways of covering an 8-by-8 square with 32 1-by-2 dominoes
  Domino tiling
  A domino tiling of a region in the Euclidean plane is a tessellation of the region by dominos, shapes formed by the union of two unit squares meeting edge-to-edge...
  
  
• 13782649 – Markov number
• 11390625 = 15⁶
• 14348907 = 3¹⁵
• 14352282 – Leyland number
• 14930352 – Fibonacci number
  Fibonacci number
  In mathematics, the Fibonacci numbers are the numbers in the following integer sequence:0,\;1,\;1,\;2,\;3,\;5,\;8,\;13,\;21,\;34,\;55,\;89,\;144,\; \ldots\; ....
  
  
• 15994428 – Pell number
  Pell number
  In mathematics, the Pell numbers are an infinite sequence of integers that have been known since ancient times, the denominators of the closest rational approximations to the square root of 2. This sequence of approximations begins 1/1, 3/2, 7/5, 17/12, and 41/29, so the sequence of Pell numbers...
  
  
• 16609837 – Markov number
• 16769023 – Carol prime and an emirp
  Emirp
  An emirp is a prime number that results in a different prime when its digits are reversed. This definition excludes the related palindromic primes. Emirps are also called reversible primes....
  
  
• 16777216 = 2²⁴ – hexadecimal
  Hexadecimal
  In mathematics and computer science, hexadecimal is a positional numeral system with a radix, or base, of 16. It uses sixteen distinct symbols, most often the symbols 0–9 to represent values zero to nine, and A, B, C, D, E, F to represent values ten to fifteen...
  
   "million" (0x1000000), number of possible colors in 24/32-bit Truecolor computer graphics
• 16777792 – Leyland number
• 16785407 – Kynea number
• 16797952 – Leyland number
• 16964653 – Markov number
• 17210368 = 28⁵
• 18199284 – Motzkin number
  Motzkin number
  In mathematics, a Motzkin number for a given number n is the number of different ways of drawing non-intersecting chords on a circle between n points. The Motzkin numbers have very diverse applications in geometry, combinatorics and number theory...
  
  
• 19487171 = 11⁷
• 19680277 – Wedderburn-Etherington number
  Wedderburn-Etherington number
  In graph theory, the Wedderburn–Etherington numbers, named for Ivor Malcolm Haddon Etherington and Joseph Wedderburn, count how many weak binary trees can be constructed: that is, the number of trees for which each graph vertex is adjacent to no more than three other such vertices, for a...
  
  
• 20031170 – Markov number
• 20511149 = 29⁵
• 21531778 – Markov number
• 21621600 – colossally abundant number
  Colossally abundant number
  In mathematics, a colossally abundant number is a natural number that, in some rigorous sense, has a lot of divisors...
  
  
• 22222222 – repdigit
  Repdigit
  In recreational mathematics, a repdigit is a natural number composed of repeated instances of the same digit, most often in the decimal numeral system....
  
  
• 24137569 = 17⁶
• 24157817 – Fibonacci number, Markov number
• 24300000 = 30⁵
• 24678050 – equal to the sum of the eighth powers of its digits
• 27644437 – Bell number
  Bell number
  In combinatorics, the nth Bell number, named after Eric Temple Bell, is the number of partitions of a set with n members, or equivalently, the number of equivalence relations on it...
  
  
• 28629151 = 31⁵
• 33333333 – repdigit
• 33445755 – Keith number
• 33550336 – perfect number
  Perfect number
  In number theory, a perfect number is a positive integer that is equal to the sum of its proper positive divisors, that is, the sum of its positive divisors excluding the number itself . Equivalently, a perfect number is a number that is half the sum of all of its positive divisors i.e...
  
  
• 33554432 = 2²⁵ – Leyland number
• 33555057 – Leyland number
• 34012224 = 18⁶
• 35831808 = 12⁷
• 36614981 – alternating factorial
  Alternating factorial
  In mathematics, an alternating factorial is the absolute value of the alternating sum of the first n factorials.This is the same as their sum, with the odd-indexed factorials multiplied by −1 if n is even, and the even-indexed factorials multiplied by −1 if n is odd, resulting in an...
  
  
• 38613965 – Pell number, Markov number
• 39088169 – Fibonacci number
• 39135393 = 33⁵
• 39916800 = 11!
  Factorial
  In mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n...
  
  
• 39916801 – factorial prime
  Factorial prime
  A factorial prime is a prime number that is one less or one more than a factorial . The first few factorial primes are:n! − 1 is prime for :n! + 1 is prime for :...
  
  
• 40353607 = 7⁹
• 43046721 = 3¹⁶
• 43050817 – Leyland number
• 43484701 – Markov number
• 44121607 – Keith number
• 44444444 – repdigit
• 45136576 – Leyland number
• 45435424 = 34⁵
• 46026618 – Wedderburn-Etherington number
• 46656000 = 360³
• 47045881 = 19⁶
• 48828125 = 5¹¹
• 48928105 – Markov number
• 48989176 – Leyland number
• 50852019 – Motzkin number
• 52521875 = 35⁵
• 55555555 – repdigit
• 60466176 – 6¹⁰
• 61466176 – Leyland number
• 62748517 = 13⁷
• 63245986 – Fibonacci number, Markov number
• 64000000 = 20⁶ – vigesimal
  Vigesimal
  The vigesimal or base 20 numeral system is based on twenty .- Places :...
  
   "million" (1 alau in Mayan
  Mayan languages
  The Mayan languages form a language family spoken in Mesoamerica and northern Central America. Mayan languages are spoken by at least 6 million indigenous Maya, primarily in Guatemala, Mexico, Belize and Honduras...
  
  , 1 poaltzonxiquipilli in Nahuatl
  Nahuatl
  Nahuatl is thought to mean "a good, clear sound" This language name has several spellings, among them náhuatl , Naoatl, Nauatl, Nahuatl, Nawatl. In a back formation from the name of the language, the ethnic group of Nahuatl speakers are called Nahua...
  
  )
• 66666666 – repdigit
• 67092479 – Carol number
• 67108864 = 2²⁶
• 67109540 – Leyland number
• 67125247 – Kynea number
• 67137425 – Leyland number
• 69343957 = 37⁵
• 73939133 – the largest prime number that can be 'tailed' again and again by removing its last digit to produce only primes
• 77777777 – repdigit
• 78442645 – Markov number
• 79235168 = 38⁵
• 85766121 – 21⁶
• 87539319 – taxicab number
  Taxicab number
  In mathematics, the nth taxicab number, typically denoted Ta or Taxicab, is defined as the smallest number that can be expressed as a sum of two positive algebraic cubes in n distinct ways. The concept was first mentioned in 1657 by Bernard Frénicle de Bessy, and was made famous in the early 20th...
  
  
• 88888888 – repdigit
• 90224199 = 39⁵
• 93222358 – Pell number
• 94418953 – Markov number
• 99999999 – repdigit, Friedman number
  Friedman number
  A Friedman number is an integer which, in a given base, is the result of an expression using all its own digits in combination with any of the four basic arithmetic operators and sometimes exponentiation. For example, 347 is a Friedman number since 347 = 73 + 4...
  
  , believed to be smallest number to be both repdigit and Friedman