107904672 has 36 divisors (see below), whose sum is σ = 306854730. Its totient is φ = 35968128.

The previous prime is 107904653. The next prime is 107904683. The reversal of 107904672 is 276409701.

It is a happy number.

107904672 is a `hidden beast` number, since 107 + 90 + 467 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81649296 + 26255376 = 9036^2 + 5124^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 187047 + ... + 187622.

Almost surely, 2^107904672 is an apocalyptic number.

107904672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107904672 is an abundant number, since it is smaller than the sum of its proper divisors (198950058).

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

107904672 is a wasteful number, since it uses less digits than its factorization.

107904672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374685 (or 374674 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 107904672 is about 10387.7173623467. The cubic root of 107904672 is about 476.0801597459.

The spelling of 107904672 in words is "one hundred seven million, nine hundred four thousand, six hundred seventy-two".