107318736 has 160 divisors (see below), whose sum is σ = 367595520. Its totient is φ = 29310336.

The previous prime is 107318723. The next prime is 107318747. The reversal of 107318736 is 637813701.

It is a super-2 number, since 2×107318736² = 23034622193275392, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 107318736.

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 31 ways as a sum of consecutive naturals, for example, 68781 + ... + 70323.

It is an arithmetic number, because the mean of its divisors is an integer number (2297472).

Almost surely, 2^107318736 is an apocalyptic number.

107318736 is a gapful number since it is divisible by the number (16) 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 107318736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183797760).

107318736 is an abundant number, since it is smaller than the sum of its proper divisors (260276784).

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

107318736 is a wasteful number, since it uses less digits than its factorization.

107318736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 107318736 is about 10359.4756624069. The cubic root of 107318736 is about 475.2168701286.

The spelling of 107318736 in words is "one hundred seven million, three hundred eighteen thousand, seven hundred thirty-six".