107631504 has 240 divisors, whose sum is σ = 346644480. Its totient is φ = 32192640.

The previous prime is 107631497. The next prime is 107631509. The reversal of 107631504 is 405136701.

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 (107631509) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2290009 + ... + 2290055.

It is an arithmetic number, because the mean of its divisors is an integer number (1444352).

Almost surely, 2^107631504 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 107631504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173322240).

107631504 is an abundant number, since it is smaller than the sum of its proper divisors (239012976).

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

107631504 is a wasteful number, since it uses less digits than its factorization.

107631504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 107631504 is about 10374.5604244228. The cubic root of 107631504 is about 475.6780771773.

The spelling of 107631504 in words is "one hundred seven million, six hundred thirty-one thousand, five hundred four".