107309664 has 192 divisors, whose sum is σ = 390458880. Its totient is φ = 27855360.

The previous prime is 107309641. The next prime is 107309677. The reversal of 107309664 is 466903701.

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 31 ways as a sum of consecutive naturals, for example, 65722 + ... + 67334.

It is an arithmetic number, because the mean of its divisors is an integer number (2033640).

Almost surely, 2^107309664 is an apocalyptic number.

107309664 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 107309664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195229440).

107309664 is an abundant number, since it is smaller than the sum of its proper divisors (283149216).

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

107309664 is a wasteful number, since it uses less digits than its factorization.

107309664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 107309664 is about 10359.0377931543. The cubic root of 107309664 is about 475.2034792113.

The spelling of 107309664 in words is "one hundred seven million, three hundred nine thousand, six hundred sixty-four".