100564131 has 12 divisors (see below), whose sum is σ = 141515592. Its totient is φ = 63513504.

The previous prime is 100564127. The next prime is 100564133. The reversal of 100564131 is 131465001.

It is not a de Polignac number, because 100564131 - 2² = 100564127 is a prime.

It is a super-2 number, since 2×100564131² = 20226288887570322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100564098 and 100564107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100564133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45346 + ... + 47511.

It is an arithmetic number, because the mean of its divisors is an integer number (11792966).

Almost surely, 2^100564131 is an apocalyptic number.

100564131 is a deficient number, since it is larger than the sum of its proper divisors (40951461).

100564131 is an equidigital number, since it uses as much as digits as its factorization.

100564131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92898 (or 92879 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 100564131 is about 10028.1668813398. The cubic root of 100564131 is about 465.0300685840.

The spelling of 100564131 in words is "one hundred million, five hundred sixty-four thousand, one hundred thirty-one".