107985 has 16 divisors (see below), whose sum is σ = 180864. Its totient is φ = 54912.

The previous prime is 107981. The next prime is 107999. The reversal of 107985 is 589701.

It is not a de Polignac number, because 107985 - 2² = 107981 is a prime.

It is not an unprimeable number, because it can be changed into a prime (107981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189 + ... + 501.

It is an arithmetic number, because the mean of its divisors is an integer number (11304).

2¹⁰⁷⁹⁸⁵ is an apocalyptic number.

107985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107985 is a deficient number, since it is larger than the sum of its proper divisors (72879).

107985 is a wasteful number, since it uses less digits than its factorization.

107985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344.

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 107985 is about 328.6107119374. The cubic root of 107985 is about 47.6198267333.

The spelling of 107985 in words is "one hundred seven thousand, nine hundred eighty-five".