107988 has 12 divisors (see below), whose sum is σ = 252000. Its totient is φ = 35992.

The previous prime is 107981. The next prime is 107999. The reversal of 107988 is 889701.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×107988² = 23322816288, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107988.

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 3 ways as a sum of consecutive naturals, for example, 4488 + ... + 4511.

It is an arithmetic number, because the mean of its divisors is an integer number (21000).

2¹⁰⁷⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

107988 is an abundant number, since it is smaller than the sum of its proper divisors (144012).

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

107988 is a wasteful number, since it uses less digits than its factorization.

107988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9006 (or 9004 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 107988 is about 328.6152765773. The cubic root of 107988 is about 47.6202677148.

The spelling of 107988 in words is "one hundred seven thousand, nine hundred eighty-eight".