107487968 has 60 divisors (see below), whose sum is σ = 247048200. Its totient is φ = 46033344.

The previous prime is 107487907. The next prime is 107487971. The reversal of 107487968 is 869784701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 76133 + ... + 77531.

It is an arithmetic number, because the mean of its divisors is an integer number (4117470).

Almost surely, 2^107487968 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 107487968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123524100).

107487968 is an abundant number, since it is smaller than the sum of its proper divisors (139560232).

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

107487968 is an frugal number, since it uses more digits than its factorization.

107487968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 50.

The square root of 107487968 is about 10367.6404258635. The cubic root of 107487968 is about 475.4665303732.

The spelling of 107487968 in words is "one hundred seven million, four hundred eighty-seven thousand, nine hundred sixty-eight".