107390080 has 64 divisors (see below), whose sum is σ = 293417280. Its totient is φ = 36817920.

The previous prime is 107390077. The next prime is 107390093. The reversal of 107390080 is 80093701.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 7506 + ... + 16465.

It is an arithmetic number, because the mean of its divisors is an integer number (4584645).

Almost surely, 2^107390080 is an apocalyptic number.

107390080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107390080 is an abundant number, since it is smaller than the sum of its proper divisors (186027200).

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

107390080 is an equidigital number, since it uses as much as digits as its factorization.

107390080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23997 (or 23985 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 107390080 is about 10362.9185078336. The cubic root of 107390080 is about 475.3221526526.

It can be divided in two parts, 10 and 7390080, that added together give a triangular number (7390090 = T₃₈₄₄).

The spelling of 107390080 in words is "one hundred seven million, three hundred ninety thousand, eighty".