107521328 has 80 divisors (see below), whose sum is σ = 234226080. Its totient is φ = 47566848.

The previous prime is 107521327. The next prime is 107521339. The reversal of 107521328 is 823125701.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a self number, because there is not a number n which added to its sum of digits gives 107521328.

It is not an unprimeable number, because it can be changed into a prime (107521327) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 339026 + ... + 339342.

It is an arithmetic number, because the mean of its divisors is an integer number (2927826).

Almost surely, 2^107521328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107521328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117113040).

107521328 is an abundant number, since it is smaller than the sum of its proper divisors (126704752).

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

107521328 is a wasteful number, since it uses less digits than its factorization.

107521328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 107521328 is about 10369.2491531451. The cubic root of 107521328 is about 475.5157139333.

The spelling of 107521328 in words is "one hundred seven million, five hundred twenty-one thousand, three hundred twenty-eight".