107531328 has 56 divisors (see below), whose sum is σ = 286471360. Its totient is φ = 35596800.

The previous prime is 107531323. The next prime is 107531339. The reversal of 107531328 is 823135701.

It is a junction number, because it is equal to n+sod(n) for n = 107531295 and 107531304.

It is not an unprimeable number, because it can be changed into a prime (107531323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27138 + ... + 30846.

It is an arithmetic number, because the mean of its divisors is an integer number (5115560).

Almost surely, 2^107531328 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 107531328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143235680).

107531328 is an abundant number, since it is smaller than the sum of its proper divisors (178940032).

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

107531328 is a wasteful number, since it uses less digits than its factorization.

107531328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3875 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 107531328 is about 10369.7313369248. The cubic root of 107531328 is about 475.5304552249.

The spelling of 107531328 in words is "one hundred seven million, five hundred thirty-one thousand, three hundred twenty-eight".