107874320 has 40 divisors (see below), whose sum is σ = 253048536. Its totient is φ = 42764288.

The previous prime is 107874311. The next prime is 107874331. The reversal of 107874320 is 23478701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3671056 + 104203264 = 1916^2 + 10208^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 3074 + ... + 15006.

Almost surely, 2^107874320 is an apocalyptic number.

107874320 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 107874320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126524268).

107874320 is an abundant number, since it is smaller than the sum of its proper divisors (145174216).

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

107874320 is a wasteful number, since it uses less digits than its factorization.

107874320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12059 (or 12053 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 107874320 is about 10386.2563034040. The cubic root of 107874320 is about 476.0355174401.

The spelling of 107874320 in words is "one hundred seven million, eight hundred seventy-four thousand, three hundred twenty".