107660 has 24 divisors (see below), whose sum is σ = 258720. Its totient is φ = 36864.

The previous prime is 107647. The next prime is 107671. The reversal of 107660 is 66701.

107660 = 121² + 122² + ... + 127².

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245 + ... + 524.

It is an arithmetic number, because the mean of its divisors is an integer number (10780).

2¹⁰⁷⁶⁶⁰ is an apocalyptic number.

107660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107660 is an abundant number, since it is smaller than the sum of its proper divisors (151060).

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

107660 is a wasteful number, since it uses less digits than its factorization.

107660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 107660 is about 328.1158332053. The cubic root of 107660 is about 47.5720052887.

It can be divided in two parts, 107 and 660, that added together give a palindrome (767).

The spelling of 107660 in words is "one hundred seven thousand, six hundred sixty".