107904960 has 280 divisors, whose sum is σ = 402738336. Its totient is φ = 27371520.

The previous prime is 107904941. The next prime is 107904991. The reversal of 107904960 is 69409701.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 596070 + ... + 596250.

Almost surely, 2^107904960 is an apocalyptic number.

107904960 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 107904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201369168).

107904960 is an abundant number, since it is smaller than the sum of its proper divisors (294833376).

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

107904960 is a wasteful number, since it uses less digits than its factorization.

107904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 107904960 is about 10387.7312248633. The cubic root of 107904960 is about 476.0805833017.

The spelling of 107904960 in words is "one hundred seven million, nine hundred four thousand, nine hundred sixty".