107390664 has 64 divisors (see below), whose sum is σ = 299184000. Its totient is φ = 35691840.

The previous prime is 107390639. The next prime is 107390677. The reversal of 107390664 is 466093701.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116397 + ... + 117315.

It is an arithmetic number, because the mean of its divisors is an integer number (4674750).

Almost surely, 2^107390664 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 107390664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149592000).

107390664 is an abundant number, since it is smaller than the sum of its proper divisors (191793336).

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

107390664 is a wasteful number, since it uses less digits than its factorization.

107390664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1465 counting only the distinct ones).

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

The square root of 107390664 is about 10362.9466851856. The cubic root of 107390664 is about 475.3230142705.

The spelling of 107390664 in words is "one hundred seven million, three hundred ninety thousand, six hundred sixty-four".