107081269568064 has 567 divisors, whose sum is σ = 356231822551059. Its totient is φ = 30726133194240.

The previous prime is 107081269568051. The next prime is 107081269568081. The reversal of 107081269568064 is 460865962180701.

The square root of 107081269568064 is 10348008.

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

107081269568064 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 8 + 1 + 2 + 6 + 9 + 568 + 0 + 64 = 666.

107081269568064 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 2×107081269568064² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107081269567992 and 107081269568010.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 51905607097 + ... + 51905609159.

Almost surely, 2^{107081269568064} is an apocalyptic number.

107081269568064 is the 10348008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107081269568064

107081269568064 is an abundant number, since it is smaller than the sum of its proper divisors (249150552982995).

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

107081269568064 is an equidigital number, since it uses as much as digits as its factorization.

107081269568064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4204 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 107081269568064 in words is "one hundred seven trillion, eighty-one billion, two hundred sixty-nine million, five hundred sixty-eight thousand, sixty-four".