107872116 has 48 divisors (see below), whose sum is σ = 286530048. Its totient is φ = 31266400.

The previous prime is 107872111. The next prime is 107872151. The reversal of 107872116 is 611278701.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107872111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14730 + ... + 20801.

It is an arithmetic number, because the mean of its divisors is an integer number (5969376).

Almost surely, 2^107872116 is an apocalyptic number.

It is an amenable number.

107872116 is an abundant number, since it is smaller than the sum of its proper divisors (178657932).

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

107872116 is a wasteful number, since it uses less digits than its factorization.

107872116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35572 (or 35570 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 33.

The square root of 107872116 is about 10386.1502011092. The cubic root of 107872116 is about 476.0322754284.

The spelling of 107872116 in words is "one hundred seven million, eight hundred seventy-two thousand, one hundred sixteen".