107568864 has 192 divisors, whose sum is σ = 345602880. Its totient is φ = 32348160.

The previous prime is 107568863. The next prime is 107568869. The reversal of 107568864 is 468865701.

It is a happy number.

107568864 is a `hidden beast` number, since 1 + 0 + 7 + 568 + 86 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107568863) 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, 685074 + ... + 685230.

It is an arithmetic number, because the mean of its divisors is an integer number (1800015).

Almost surely, 2^107568864 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 107568864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172801440).

107568864 is an abundant number, since it is smaller than the sum of its proper divisors (238034016).

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

107568864 is a wasteful number, since it uses less digits than its factorization.

107568864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 107568864 is about 10371.5410619637. The cubic root of 107568864 is about 475.5857799846.

The spelling of 107568864 in words is "one hundred seven million, five hundred sixty-eight thousand, eight hundred sixty-four".