107938688 has 64 divisors (see below), whose sum is σ = 252670320. Its totient is φ = 45281280.

The previous prime is 107938681. The next prime is 107938693. The reversal of 107938688 is 886839701.

It is a happy number.

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

It is a super-2 number, since 2×107938688² = 23301520734322688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107938681) 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 7 ways as a sum of consecutive naturals, for example, 15356 + ... + 21252.

Almost surely, 2^107938688 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 107938688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126335160).

107938688 is an abundant number, since it is smaller than the sum of its proper divisors (144731632).

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

107938688 is a wasteful number, since it uses less digits than its factorization.

107938688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5935 (or 5923 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 50.

The square root of 107938688 is about 10389.3545516553. The cubic root of 107938688 is about 476.1301811861.

The spelling of 107938688 in words is "one hundred seven million, nine hundred thirty-eight thousand, six hundred eighty-eight".