107588 has 12 divisors (see below), whose sum is σ = 202860. Its totient is φ = 49632.

The previous prime is 107581. The next prime is 107599. The reversal of 107588 is 885701.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 16384 + 91204 = 128^2 + 302^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 107588.

It is not an unprimeable number, because it can be changed into a prime (107581) 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, 983 + ... + 1086.

It is an arithmetic number, because the mean of its divisors is an integer number (16905).

2¹⁰⁷⁵⁸⁸ is an apocalyptic number.

It is an amenable number.

107588 is a deficient number, since it is larger than the sum of its proper divisors (95272).

107588 is a wasteful number, since it uses less digits than its factorization.

107588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 29.

The square root of 107588 is about 328.0060975043. The cubic root of 107588 is about 47.5613979811.

The spelling of 107588 in words is "one hundred seven thousand, five hundred eighty-eight".