107268972 has 24 divisors (see below), whose sum is σ = 251697600. Its totient is φ = 35555856.

The previous prime is 107268949. The next prime is 107268983. The reversal of 107268972 is 279862701.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22822 + ... + 27117.

It is an arithmetic number, because the mean of its divisors is an integer number (10487400).

Almost surely, 2^107268972 is an apocalyptic number.

107268972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107268972 is an abundant number, since it is smaller than the sum of its proper divisors (144428628).

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

107268972 is a wasteful number, since it uses less digits than its factorization.

107268972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50125 (or 50123 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 107268972 is about 10357.0735248911. The cubic root of 107268972 is about 475.1434056387.

The spelling of 107268972 in words is "one hundred seven million, two hundred sixty-eight thousand, nine hundred seventy-two".