107008328 has 64 divisors (see below), whose sum is σ = 240952320. Its totient is φ = 43560000.

The previous prime is 107008327. The next prime is 107008333. The reversal of 107008328 is 823800701.

It is a super-2 number, since 2×107008328² = 22901564522711168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 107008328.

It is not an unprimeable number, because it can be changed into a prime (107008327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323123 + ... + 323453.

It is an arithmetic number, because the mean of its divisors is an integer number (3764880).

Almost surely, 2^107008328 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 107008328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120476160).

107008328 is an abundant number, since it is smaller than the sum of its proper divisors (133943992).

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

107008328 is a wasteful number, since it uses less digits than its factorization.

107008328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 107008328 is about 10344.4829740302. The cubic root of 107008328 is about 474.7582563060.

The spelling of 107008328 in words is "one hundred seven million, eight thousand, three hundred twenty-eight".