Properties of the Number 10104

Ten Thousand One Hundred Four

Basics

Value: 10103 → 10104 → 10105

Parity: even

Prime: No

Previous Prime: 10103

Next Prime: 10111

Digit Sum: 6

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 421

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 421, 842

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10011101111000

Octal: 23570

Duodecimal: 5A20

Hexadecimal: 2778

Square: 102090816

Square Root: 100.5186549850325

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

Number of ways of writing n as a sum of 6 squares. A141

Dispersion of A047211, (numbers >1 and congruent to 2 or 4 mod 5), by antidiagonals. A191730

Number of Lyndon compositions of n whose reverse is not a co-Lyndon composition. A329324

Number of orbits of length n under the map whose periodic points are counted by A000364. A60164

Sum of the eighth largest parts of the partitions of n into 10 parts. A326591

Square array A(1,k) = A265905(k), A(n>1,k) = A(n-1, k+1) - A(n-1, k); successive differences of A265905 read by descending antidiagonals as A(1,1), A(1,2), A(2,1), A(1,3), A(2,2), A(3,1), ... A275950

Expansion of e.g.f. x·exp(4·x)*cosh(x). A82135

a(n) = Sum of all numbers of divisors of all numbers < (n+1)². A168011

Expansion of (η(q) / η(q⁷))⁴ in powers of q. A30181

Numbers k for which A003958(σ(k)) = 2·A003958(k), where A003958 is multiplicative with a(p^e) = (p-1)^e and σ is the sum of divisors function. A351447