107415312 has 40 divisors (see below), whose sum is σ = 282731904. Its totient is φ = 35128704.

The previous prime is 107415311. The next prime is 107415317. The reversal of 107415312 is 213514701.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (107415311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18568 + ... + 23655.

Almost surely, 2^107415312 is an apocalyptic number.

107415312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107415312 is an abundant number, since it is smaller than the sum of its proper divisors (175316592).

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

107415312 is a wasteful number, since it uses less digits than its factorization.

107415312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42287 (or 42281 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 107415312 is about 10364.1358539919. The cubic root of 107415312 is about 475.3593764178.

The spelling of 107415312 in words is "one hundred seven million, four hundred fifteen thousand, three hundred twelve".