107685 has 12 divisors (see below), whose sum is σ = 186732. Its totient is φ = 57408.

The previous prime is 107671. The next prime is 107687. The reversal of 107685 is 586701.

It can be written as a sum of positive squares in 2 ways, for example, as 15876 + 91809 = 126^2 + 303^2 .

It is not a de Polignac number, because 107685 - 2⁶ = 107621 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1152 + ... + 1241.

It is an arithmetic number, because the mean of its divisors is an integer number (15561).

2¹⁰⁷⁶⁸⁵ is an apocalyptic number.

107685 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107685 is a deficient number, since it is larger than the sum of its proper divisors (79047).

107685 is a wasteful number, since it uses less digits than its factorization.

107685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 107685 is about 328.1539272963. The cubic root of 107685 is about 47.5756872755.

The spelling of 107685 in words is "one hundred seven thousand, six hundred eighty-five".