107688960 has 352 divisors, whose sum is σ = 412675200. Its totient is φ = 26542080.

The previous prime is 107688937. The next prime is 107688989. The reversal of 107688960 is 69886701.

It is a happy number.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2626540 + ... + 2626580.

Almost surely, 2^107688960 is an apocalyptic number.

107688960 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 107688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206337600).

107688960 is an abundant number, since it is smaller than the sum of its proper divisors (304986240).

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

107688960 is a wasteful number, since it uses less digits than its factorization.

107688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 107688960 is about 10377.3291361506. The cubic root of 107688960 is about 475.7627044993.

The spelling of 107688960 in words is "one hundred seven million, six hundred eighty-eight thousand, nine hundred sixty".