107913672 has 24 divisors (see below), whose sum is σ = 292266390. Its totient is φ = 35971200.

The previous prime is 107913653. The next prime is 107913679. The reversal of 107913672 is 276319701.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 56160036 + 51753636 = 7494^2 + 7194^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (107913679) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 749329 + ... + 749472.

Almost surely, 2^107913672 is an apocalyptic number.

107913672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107913672 is an abundant number, since it is smaller than the sum of its proper divisors (184352718).

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

107913672 is a wasteful number, since it uses less digits than its factorization.

107913672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498813 (or 1498806 counting only the distinct ones).

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

The square root of 107913672 is about 10388.1505572455. The cubic root of 107913672 is about 476.0933955099.

The spelling of 107913672 in words is "one hundred seven million, nine hundred thirteen thousand, six hundred seventy-two".