107667738216 has 192 divisors, whose sum is σ = 318690590400. Its totient is φ = 33960342528.

The previous prime is 107667738187. The next prime is 107667738223. The reversal of 107667738216 is 612837766701.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57360670 + ... + 57362546.

It is an arithmetic number, because the mean of its divisors is an integer number (1659846825).

Almost surely, 2^107667738216 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 107667738216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159345295200).

107667738216 is an abundant number, since it is smaller than the sum of its proper divisors (211022852184).

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

107667738216 is a wasteful number, since it uses less digits than its factorization.

107667738216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3470 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 107667738216 in words is "one hundred seven billion, six hundred sixty-seven million, seven hundred thirty-eight thousand, two hundred sixteen".