107312968 has 64 divisors (see below), whose sum is σ = 235929600. Its totient is φ = 44815680.

The previous prime is 107312957. The next prime is 107312971. The reversal of 107312968 is 869213701.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 561753 + ... + 561943.

It is an arithmetic number, because the mean of its divisors is an integer number (3686400).

Almost surely, 2^107312968 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 107312968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117964800).

107312968 is an abundant number, since it is smaller than the sum of its proper divisors (128616632).

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

107312968 is a wasteful number, since it uses less digits than its factorization.

107312968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 107312968 is about 10359.1972661978. The cubic root of 107312968 is about 475.2083562377.

It can be divided in two parts, 1073 and 12968, that added together give a palindrome (14041).

The spelling of 107312968 in words is "one hundred seven million, three hundred twelve thousand, nine hundred sixty-eight".