107872416 has 36 divisors (see below), whose sum is σ = 306763002. Its totient is φ = 35957376.

The previous prime is 107872393. The next prime is 107872417. The reversal of 107872416 is 614278701.

It can be written as a sum of positive squares in only one way, i.e., 99920016 + 7952400 = 9996^2 + 2820^2 .

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

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 (107872417) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 186991 + ... + 187566.

Almost surely, 2^107872416 is an apocalyptic number.

107872416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107872416 is an abundant number, since it is smaller than the sum of its proper divisors (198890586).

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

107872416 is a wasteful number, since it uses less digits than its factorization.

107872416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374573 (or 374562 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 107872416 is about 10386.1646434090. The cubic root of 107872416 is about 476.0327167212.

It can be divided in two parts, 10787 and 2416, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 107872416 in words is "one hundred seven million, eight hundred seventy-two thousand, four hundred sixteen".