107807568 has 80 divisors (see below), whose sum is σ = 308093376. Its totient is φ = 32209920.

The previous prime is 107807563. The next prime is 107807593. The reversal of 107807568 is 865708701.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107807563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37146 + ... + 39942.

Almost surely, 2^107807568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107807568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154046688).

107807568 is an abundant number, since it is smaller than the sum of its proper divisors (200285808).

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

107807568 is a wasteful number, since it uses less digits than its factorization.

107807568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The square root of 107807568 is about 10383.0423287204. The cubic root of 107807568 is about 475.9373078463.

The spelling of 107807568 in words is "one hundred seven million, eight hundred seven thousand, five hundred sixty-eight".