107328384 has 96 divisors (see below), whose sum is σ = 311397840. Its totient is φ = 35481600.

The previous prime is 107328371. The next prime is 107328427. The reversal of 107328384 is 483823701.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173644 + ... + 174260.

Almost surely, 2^107328384 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 107328384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155698920).

107328384 is an abundant number, since it is smaller than the sum of its proper divisors (204069456).

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

107328384 is a wasteful number, since it uses less digits than its factorization.

107328384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 107328384 is about 10359.9413125751. The cubic root of 107328384 is about 475.2311104347.

The spelling of 107328384 in words is "one hundred seven million, three hundred twenty-eight thousand, three hundred eighty-four".