107791160332416 has 256 divisors, whose sum is σ = 328847135040000. Its totient is φ = 30939342888960.

The previous prime is 107791160332411. The next prime is 107791160332433. The reversal of 107791160332416 is 614233061197701.

It is a happy number.

107791160332416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107791160332416² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107791160332411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 463683220 + ... + 463915628.

It is an arithmetic number, because the mean of its divisors is an integer number (1284559121250).

Almost surely, 2^{107791160332416} is an apocalyptic number.

107791160332416 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 107791160332416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164423567520000).

107791160332416 is an abundant number, since it is smaller than the sum of its proper divisors (221055974707584).

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

107791160332416 is a wasteful number, since it uses less digits than its factorization.

107791160332416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238235 (or 238223 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The spelling of 107791160332416 in words is "one hundred seven trillion, seven hundred ninety-one billion, one hundred sixty million, three hundred thirty-two thousand, four hundred sixteen".