107005328 has 30 divisors (see below), whose sum is σ = 212315094. Its totient is φ = 52243968.

The previous prime is 107005279. The next prime is 107005333. The reversal of 107005328 is 823500701.

It can be written as a sum of positive squares in only one way, i.e., 57274624 + 49730704 = 7568^2 + 7052^2 .

It is a super-2 number, since 2×107005328² = 22900280440775168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 107005297 and 107005306.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27776 + ... + 31392.

Almost surely, 2^107005328 is an apocalyptic number.

It is an amenable number.

107005328 is a deficient number, since it is larger than the sum of its proper divisors (105309766).

107005328 is an equidigital number, since it uses as much as digits as its factorization.

107005328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3711 (or 3662 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 107005328 is about 10344.3379681834. The cubic root of 107005328 is about 474.7538196168.

The spelling of 107005328 in words is "one hundred seven million, five thousand, three hundred twenty-eight".