100727974164 has 24 divisors (see below), whose sum is σ = 235397481760. Its totient is φ = 33523771104.

The previous prime is 100727974157. The next prime is 100727974181. The reversal of 100727974164 is 461479727001.

It is a happy number.

100727974164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100727974164² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 6519499 + ... + 6534930.

Almost surely, 2^100727974164 is an apocalyptic number.

It is an amenable number.

100727974164 is an abundant number, since it is smaller than the sum of its proper divisors (134669507596).

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

100727974164 is a wasteful number, since it uses less digits than its factorization.

100727974164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13055079 (or 13055077 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The spelling of 100727974164 in words is "one hundred billion, seven hundred twenty-seven million, nine hundred seventy-four thousand, one hundred sixty-four".