107315 has 12 divisors (see below), whose sum is σ = 140544. Its totient is φ = 78624.

The previous prime is 107309. The next prime is 107323. The reversal of 107315 is 513701.

It is not a de Polignac number, because 107315 - 2⁶ = 107251 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 107293 and 107302.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107315.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 782 + ... + 908.

It is an arithmetic number, because the mean of its divisors is an integer number (11712).

2¹⁰⁷³¹⁵ is an apocalyptic number.

107315 is a deficient number, since it is larger than the sum of its proper divisors (33229).

107315 is a wasteful number, since it uses less digits than its factorization.

107315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 107315 is about 327.5896823772. The cubic root of 107315 is about 47.5211355618.

The spelling of 107315 in words is "one hundred seven thousand, three hundred fifteen".