107920512 has 160 divisors (see below), whose sum is σ = 367297920. Its totient is φ = 30813696.

The previous prime is 107920511. The next prime is 107920541. The reversal of 107920512 is 215029701.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (107920511) 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 19 ways as a sum of consecutive naturals, for example, 71833 + ... + 73319.

It is an arithmetic number, because the mean of its divisors is an integer number (2295612).

Almost surely, 2^107920512 is an apocalyptic number.

107920512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107920512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183648960).

107920512 is an abundant number, since it is smaller than the sum of its proper divisors (259377408).

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

107920512 is an equidigital number, since it uses as much as digits as its factorization.

107920512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 107920512 is about 10388.4797732873. The cubic root of 107920512 is about 476.1034541983.

The spelling of 107920512 in words is "one hundred seven million, nine hundred twenty thousand, five hundred twelve".