107315360 has 48 divisors (see below), whose sum is σ = 255063816. Its totient is φ = 42667008.

The previous prime is 107315359. The next prime is 107315387. The reversal of 107315360 is 63513701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 94556176 + 12759184 = 9724^2 + 3572^2 .

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, 25742 + ... + 29618.

Almost surely, 2^107315360 is an apocalyptic number.

107315360 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 107315360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127531908).

107315360 is an abundant number, since it is smaller than the sum of its proper divisors (147748456).

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

107315360 is a wasteful number, since it uses less digits than its factorization.

107315360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4065 (or 4057 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 107315360 is about 10359.3127185156. The cubic root of 107315360 is about 475.2118870006.

The spelling of 107315360 in words is "one hundred seven million, three hundred fifteen thousand, three hundred sixty".