107185312 has 24 divisors (see below), whose sum is σ = 227254356. Its totient is φ = 49469952.

The previous prime is 107185307. The next prime is 107185381. The reversal of 107185312 is 213581701.

It can be written as a sum of positive squares in 2 ways, for example, as 78925456 + 28259856 = 8884^2 + 5316^2 .

It is a super-2 number, since 2×107185312² = 22977382217074688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 128413 + ... + 129244.

Almost surely, 2^107185312 is an apocalyptic number.

It is an amenable number.

107185312 is an abundant number, since it is smaller than the sum of its proper divisors (120069044).

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

107185312 is a wasteful number, since it uses less digits than its factorization.

107185312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257680 (or 257672 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 107185312 is about 10353.0339514560. The cubic root of 107185312 is about 475.0198506940.

The spelling of 107185312 in words is "one hundred seven million, one hundred eighty-five thousand, three hundred twelve".