107244864 has 112 divisors (see below), whose sum is σ = 321503040. Its totient is φ = 35043840.

The previous prime is 107244847. The next prime is 107244899. The reversal of 107244864 is 468442701.

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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90999 + ... + 92169.

Almost surely, 2^107244864 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 107244864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160751520).

107244864 is an abundant number, since it is smaller than the sum of its proper divisors (214258176).

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

107244864 is a wasteful number, since it uses less digits than its factorization.

107244864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 107244864 is about 10355.9096172186. The cubic root of 107244864 is about 475.1078078473.

The spelling of 107244864 in words is "one hundred seven million, two hundred forty-four thousand, eight hundred sixty-four".