107968807766416 has 15 divisors (see below), whose sum is σ = 209189645576193. Its totient is φ = 53984383101600.

The previous prime is 107968807766399. The next prime is 107968807766419. The reversal of 107968807766416 is 614667708869701.

The square root of 107968807766416 is 10390804.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 21385038364816 + 86583769401600 = 4624396^2 + 9305040^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107968807766419) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 40264366 + ... + 42862066.

Almost surely, 2^{107968807766416} is an apocalyptic number.

107968807766416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

107968807766416 is the 10390804-th square number.

It is an amenable number.

107968807766416 is a deficient number, since it is larger than the sum of its proper divisors (101220837809777).

107968807766416 is an frugal number, since it uses more digits than its factorization.

107968807766416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5195410 (or 2597703 counting only the distinct ones).

The product of its (nonzero) digits is 1024192512, while the sum is 76.

The spelling of 107968807766416 in words is "one hundred seven trillion, nine hundred sixty-eight billion, eight hundred seven million, seven hundred sixty-six thousand, four hundred sixteen".