Properties of the Number 10105

Ten Thousand One Hundred Five

Basics

Value: 10104 → 10105 → 10106

Parity: odd

Prime: No

Previous Prime: 10103

Next Prime: 10111

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 5 × 43 × 47

Divisors: 1, 5, 43, 47, 215, 235, 2021, 10105

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011101111001

Octal: 23571

Duodecimal: 5A21

Hexadecimal: 2779

Square: 102111025

Square Root: 100.5236290630218

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 + x^2·k-1)^k. A263140

Numbers k such that the sum of the first k primes is the average of a twin prime pair. A366206

Number of lines through at least 2 points of a 10 X n grid of points. A160850

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

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

Inverse binomial transform of A327460. A327459

Records in A228407. A377925

G.f. A(x) defined by: A(x)¹⁰ consists entirely of integer coefficients between 1 and 10 (A083950); A(x) is the unique power series solution with A(0)=1. A84210

The Roman numerals, with "i" replaced by "1", "v" replaced by "5", "x" replaced by 10, etc. A93788

a(n) = A108462(A025487(n)). A108463