107915328 has 126 divisors (see below), whose sum is σ = 322450206. Its totient is φ = 35831808.

The previous prime is 107915299. The next prime is 107915377. The reversal of 107915328 is 823519701.

It can be written as a sum of positive squares in only one way, i.e., 107495424 + 419904 = 10368^2 + 648^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 107915292 and 107915301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 419776 + ... + 420032.

Almost surely, 2^107915328 is an apocalyptic number.

107915328 is a gapful number since it is divisible by the number (18) 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 107915328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161225103).

107915328 is an abundant number, since it is smaller than the sum of its proper divisors (214534878).

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

107915328 is an frugal number, since it uses more digits than its factorization.

107915328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 107915328 is about 10388.2302631391. The cubic root of 107915328 is about 476.0958308103.

The spelling of 107915328 in words is "one hundred seven million, nine hundred fifteen thousand, three hundred twenty-eight".