107932681164 has 192 divisors, whose sum is σ = 328067776512. Its totient is φ = 26780371200.

The previous prime is 107932681159. The next prime is 107932681193. The reversal of 107932681164 is 461186239701.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18635109 + ... + 18640899.

It is an arithmetic number, because the mean of its divisors is an integer number (1708686336).

Almost surely, 2^107932681164 is an apocalyptic number.

107932681164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107932681164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164033888256).

107932681164 is an abundant number, since it is smaller than the sum of its proper divisors (220135095348).

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

107932681164 is a wasteful number, since it uses less digits than its factorization.

107932681164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6716 (or 6714 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 107932681164 in words is "one hundred seven billion, nine hundred thirty-two million, six hundred eighty-one thousand, one hundred sixty-four".