107664984 has 128 divisors (see below), whose sum is σ = 352972800. Its totient is φ = 29756160.

The previous prime is 107664979. The next prime is 107664989. The reversal of 107664984 is 489466701.

It is an interprime number because it is at equal distance from previous prime (107664979) and next prime (107664989).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107664989) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45724 + ... + 48020.

It is an arithmetic number, because the mean of its divisors is an integer number (2757600).

Almost surely, 2^107664984 is an apocalyptic number.

107664984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107664984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176486400).

107664984 is an abundant number, since it is smaller than the sum of its proper divisors (245307816).

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

107664984 is a wasteful number, since it uses less digits than its factorization.

107664984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2350 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 107664984 is about 10376.1738613036. The cubic root of 107664984 is about 475.7273937511.

The spelling of 107664984 in words is "one hundred seven million, six hundred sixty-four thousand, nine hundred eighty-four".