107319680 has 64 divisors (see below), whose sum is σ = 276318000. Its totient is φ = 39622656.

The previous prime is 107319677. The next prime is 107319697. The reversal of 107319680 is 86913701.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 107319680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1871 + ... + 14769.

Almost surely, 2^107319680 is an apocalyptic number.

107319680 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 107319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138159000).

107319680 is an abundant number, since it is smaller than the sum of its proper divisors (168998320).

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

107319680 is a wasteful number, since it uses less digits than its factorization.

107319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12931 (or 12919 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 107319680 is about 10359.5212244582. The cubic root of 107319680 is about 475.2182634964.

The spelling of 107319680 in words is "one hundred seven million, three hundred nineteen thousand, six hundred eighty".