107613972 has 36 divisors (see below), whose sum is σ = 275757300. Its totient is φ = 35379072.

The previous prime is 107613959. The next prime is 107613997. The reversal of 107613972 is 279316701.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 54819216 + 52794756 = 7404^2 + 7266^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17847 + ... + 23102.

It is an arithmetic number, because the mean of its divisors is an integer number (7659925).

Almost surely, 2^107613972 is an apocalyptic number.

107613972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107613972 is an abundant number, since it is smaller than the sum of its proper divisors (168143328).

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

107613972 is a wasteful number, since it uses less digits than its factorization.

107613972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41032 (or 41027 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 107613972 is about 10373.7154385495. The cubic root of 107613972 is about 475.6522481818.

The spelling of 107613972 in words is "one hundred seven million, six hundred thirteen thousand, nine hundred seventy-two".