107976960 has 432 divisors, whose sum is σ = 464265984. Its totient is φ = 22560768.

The previous prime is 107976949. The next prime is 107976977. The reversal of 107976960 is 69679701.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1048269 + ... + 1048371.

Almost surely, 2^107976960 is an apocalyptic number.

107976960 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 107976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232132992).

107976960 is an abundant number, since it is smaller than the sum of its proper divisors (356289024).

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

107976960 is a wasteful number, since it uses less digits than its factorization.

107976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 107976960 is about 10391.1962737694. The cubic root of 107976960 is about 476.1864486263.

The spelling of 107976960 in words is "one hundred seven million, nine hundred seventy-six thousand, nine hundred sixty".