107639688 has 96 divisors (see below), whose sum is σ = 300283200. Its totient is φ = 31962240.

The previous prime is 107639669. The next prime is 107639689. The reversal of 107639688 is 886936701.

It is not an unprimeable number, because it can be changed into a prime (107639689) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 299653 + ... + 300011.

It is an arithmetic number, because the mean of its divisors is an integer number (3127950).

Almost surely, 2^107639688 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 107639688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150141600).

107639688 is an abundant number, since it is smaller than the sum of its proper divisors (192643512).

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

107639688 is a wasteful number, since it uses less digits than its factorization.

107639688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 107639688 is about 10374.9548432752. The cubic root of 107639688 is about 475.6901332841.

The spelling of 107639688 in words is "one hundred seven million, six hundred thirty-nine thousand, six hundred eighty-eight".