107288064 has 200 divisors, whose sum is σ = 346592400. Its totient is φ = 32845824.

The previous prime is 107288039. The next prime is 107288089. The reversal of 107288064 is 460882701.

It is an interprime number because it is at equal distance from previous prime (107288039) and next prime (107288089).

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 19 ways as a sum of consecutive naturals, for example, 539037 + ... + 539235.

It is an arithmetic number, because the mean of its divisors is an integer number (1732962).

Almost surely, 2^107288064 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 107288064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173296200).

107288064 is an abundant number, since it is smaller than the sum of its proper divisors (239304336).

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

107288064 is an equidigital number, since it uses as much as digits as its factorization.

107288064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 107288064 is about 10357.9951728122. The cubic root of 107288064 is about 475.1715930371.

The spelling of 107288064 in words is "one hundred seven million, two hundred eighty-eight thousand, sixty-four".