107959680 has 96 divisors (see below), whose sum is σ = 372818160. Its totient is φ = 28787712.

The previous prime is 107959679. The next prime is 107959711. The reversal of 107959680 is 86959701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3612 + ... + 15131.

Almost surely, 2^107959680 is an apocalyptic number.

107959680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186409080).

107959680 is an abundant number, since it is smaller than the sum of its proper divisors (264858480).

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

107959680 is a wasteful number, since it uses less digits than its factorization.

107959680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18768 (or 18753 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 107959680 is about 10390.3647674179. The cubic root of 107959680 is about 476.1610452414.

The spelling of 107959680 in words is "one hundred seven million, nine hundred fifty-nine thousand, six hundred eighty".