100850085564 has 24 divisors (see below), whose sum is σ = 235784707200. Its totient is φ = 33549860784.

The previous prime is 100850085563. The next prime is 100850085619. The reversal of 100850085564 is 465580058001.

It is a super-2 number, since 2×100850085564² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100850085563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8348014 + ... + 8360085.

It is an arithmetic number, because the mean of its divisors is an integer number (9824362800).

Almost surely, 2^100850085564 is an apocalyptic number.

It is an amenable number.

100850085564 is an abundant number, since it is smaller than the sum of its proper divisors (134934621636).

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

100850085564 is a wasteful number, since it uses less digits than its factorization.

100850085564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16708609 (or 16708607 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 42.

The spelling of 100850085564 in words is "one hundred billion, eight hundred fifty million, eighty-five thousand, five hundred sixty-four".