107366916768 has 192 divisors, whose sum is σ = 305367293952. Its totient is φ = 32933514240.

The previous prime is 107366916743. The next prime is 107366916781. The reversal of 107366916768 is 867619663701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11836971 + ... + 11846037.

It is an arithmetic number, because the mean of its divisors is an integer number (1590454656).

Almost surely, 2^107366916768 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 107366916768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152683646976).

107366916768 is an abundant number, since it is smaller than the sum of its proper divisors (198000377184).

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

107366916768 is a wasteful number, since it uses less digits than its factorization.

107366916768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9307 (or 9299 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 60.

The spelling of 107366916768 in words is "one hundred seven billion, three hundred sixty-six million, nine hundred sixteen thousand, seven hundred sixty-eight".