107642093880 has 128 divisors (see below), whose sum is σ = 324440665920. Its totient is φ = 28570214400.

The previous prime is 107642093873. The next prime is 107642093917. The reversal of 107642093880 is 88390246701.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38428480 + ... + 38431280.

Almost surely, 2^107642093880 is an apocalyptic number.

107642093880 is a gapful number since it is divisible by the number (10) 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 107642093880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162220332960).

107642093880 is an abundant number, since it is smaller than the sum of its proper divisors (216798572040).

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

107642093880 is a wasteful number, since it uses less digits than its factorization.

107642093880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4201 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 107642093880 in words is "one hundred seven billion, six hundred forty-two million, ninety-three thousand, eight hundred eighty".