107724972 has 24 divisors (see below), whose sum is σ = 251533296. Its totient is φ = 35883328.

The previous prime is 107724941. The next prime is 107724989. The reversal of 107724972 is 279427701.

It is a self number, because there is not a number n which added to its sum of digits gives 107724972.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24838 + ... + 28850.

It is an arithmetic number, because the mean of its divisors is an integer number (10480554).

Almost surely, 2^107724972 is an apocalyptic number.

107724972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107724972 is an abundant number, since it is smaller than the sum of its proper divisors (143808324).

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

107724972 is a wasteful number, since it uses less digits than its factorization.

107724972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6257 (or 6255 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 39.

The square root of 107724972 is about 10379.0641196593. The cubic root of 107724972 is about 475.8157314671.

The spelling of 107724972 in words is "one hundred seven million, seven hundred twenty-four thousand, nine hundred seventy-two".