107334864 has 120 divisors (see below), whose sum is σ = 369754112. Its totient is φ = 28304640.

The previous prime is 107334863. The next prime is 107334881. The reversal of 107334864 is 468433701.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107334863) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9009 + ... + 17199.

Almost surely, 2^107334864 is an apocalyptic number.

107334864 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 107334864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184877056).

107334864 is an abundant number, since it is smaller than the sum of its proper divisors (262419248).

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

107334864 is a wasteful number, since it uses less digits than its factorization.

107334864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8225 (or 8216 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 107334864 is about 10360.2540509391. The cubic root of 107334864 is about 475.2406743404.

It can be divided in two parts, 1073 and 34864, that added together give a cube (35937 = 33³).

The spelling of 107334864 in words is "one hundred seven million, three hundred thirty-four thousand, eight hundred sixty-four".