Properties of the Number 10107

Ten Thousand One Hundred Seven

Basics

Value: 10106 → 10107 → 10108

Parity: odd

Prime: No

Previous Prime: 10103

Next Prime: 10111

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 1123

Divisors: 1, 3, 9, 1123, 3369, 10107

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10011101111011

Octal: 23573

Duodecimal: 5A23

Hexadecimal: 277b

Square: 102151449

Square Root: 100.53357648069624

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Expansion of ∏_k>=1 1/(1-x^k+5)^k. A263361

Numbers n such that n and n+1 are differences between 2 positive cubes in at least one way. A38594

a(n) = 28·n² - 1. A158554

a(n) = ∑_k=1..n² d(k), d(k) = number of divisors of k (A000005). A175346

Numbers which may represent a date in "condensed European notation" DDMMYY. A213182

Numbers which may represent a date in "condensed American notation" MMDDYY. A213184

Number of binary words of length n containing at least one subword 100001 and no subwords 10ⁱ1 with i<4. A143284

a(n) = 361·n - 1. A158308

Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 99. A31597

a(n) = (n+3)³ - n³. A38865