100564118964 has 36 divisors (see below), whose sum is σ = 256535899620. Its totient is φ = 33213836160.

The previous prime is 100564118959. The next prime is 100564118999. The reversal of 100564118964 is 469811465001.

100564118964 is a `hidden beast` number, since 1 + 0 + 0 + 564 + 1 + 1 + 89 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35309416464 + 65254702500 = 187908^2 + 255450^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×100564118964² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12810057 + ... + 12817904.

Almost surely, 2^100564118964 is an apocalyptic number.

It is an amenable number.

100564118964 is an abundant number, since it is smaller than the sum of its proper divisors (155971780656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100564118964 is a wasteful number, since it uses less digits than its factorization.

100564118964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25628080 (or 25628075 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 100564118964 in words is "one hundred billion, five hundred sixty-four million, one hundred eighteen thousand, nine hundred sixty-four".