Properties of the Number 90107

Ninety Thousand One Hundred Seven

Basics

Value: 90106 → 90107 → 90108

Parity: odd

Prime: Yes

Previous Prime: 90089

Next Prime: 90121

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 90107

Divisors: 1, 90107

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101111111111011

Octal: 257773

Duodecimal: 4418B

Hexadecimal: 15ffb

Square: 8119271449

Square Root: 300.17828036018864

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

a(1) = 2; a(n+1) is the smallest prime > a(n) which differs from it in every digit. A68853

Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 1101-1111 pattern in any orientation. A146864

Numbers n of the form 4·k+3 such that 2^m-1 == 1 (mod m) where m = (2·n-1)*n. A187923

Number of parallelogram polyominoes with n cells (also called staircase polyominoes, although that term is overused). A6958

Values of k such that {P(k), P(k+1), ..., P(k+9)} are all prime numbers, where P(k) = k² - 79·k + 1601. A90107

Numerator of ∑_i=2..t (d(i)/d(i-1)-1), where d(1), ..., d(t) are the divisors of n. A85085

Denominator of ∑_i=2..t (d(i)/d(i-1)-1), where d(1), ..., d(t) are the divisors of n. A85091