100978186697872 has 40 divisors (see below), whose sum is σ = 213436967141952. Its totient is φ = 45897928502400.

The previous prime is 100978186697813. The next prime is 100978186697939. The reversal of 100978186697872 is 278796681879001.

It is a Smith number, since the sum of its digits (79) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 100978186697792 and 100978186697801.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1284879 + ... + 14269102.

Almost surely, 2^{100978186697872} is an apocalyptic number.

It is an amenable number.

100978186697872 is an abundant number, since it is smaller than the sum of its proper divisors (112458780444080).

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

100978186697872 is a wasteful number, since it uses less digits than its factorization.

100978186697872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15590887 (or 15590881 counting only the distinct ones).

The product of its (nonzero) digits is 1024192512, while the sum is 79.

The spelling of 100978186697872 in words is "one hundred trillion, nine hundred seventy-eight billion, one hundred eighty-six million, six hundred ninety-seven thousand, eight hundred seventy-two".