100879618560 has 160 divisors (see below), whose sum is σ = 368571088512. Its totient is φ = 23058186240.

The previous prime is 100879618363. The next prime is 100879618577. The reversal of 100879618560 is 65816978001.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×100879618560² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 884481 + ... + 992000.

Almost surely, 2^100879618560 is an apocalyptic number.

100879618560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100879618560 is an abundant number, since it is smaller than the sum of its proper divisors (267691469952).

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

100879618560 is an equidigital number, since it uses as much as digits as its factorization.

100879618560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876514 (or 1876498 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The spelling of 100879618560 in words is "one hundred billion, eight hundred seventy-nine million, six hundred eighteen thousand, five hundred sixty".