107078227275321 has 27 divisors (see below), whose sum is σ = 161686727342959. Its totient is φ = 68281312811712.

The previous prime is 107078227275319. The next prime is 107078227275403. The reversal of 107078227275321 is 123572722870701.

The square root of 107078227275321 is 10347861.

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

107078227275321 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 7 + 82 + 2 + 7 + 27 + 532 + 1 = 666.

107078227275321 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1038485321721 + 106039741953600 = 1019061^2 + 10297560^2 .

It is not a de Polignac number, because 107078227275321 - 2¹ = 107078227275319 is a prime.

It is a super-2 number, since 2×107078227275321² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107078227175321) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 713927425 + ... + 714077393.

Almost surely, 2^{107078227275321} is an apocalyptic number.

107078227275321 is the 10347861-st square number.

107078227275321 is the 5173931-st centered octagonal number.

It is an amenable number.

107078227275321 is a deficient number, since it is larger than the sum of its proper divisors (54608500067638).

107078227275321 is an frugal number, since it uses more digits than its factorization.

107078227275321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299990 (or 149995 counting only the distinct ones).

The product of its (nonzero) digits is 4609920, while the sum is 54.

The spelling of 107078227275321 in words is "one hundred seven trillion, seventy-eight billion, two hundred twenty-seven million, two hundred seventy-five thousand, three hundred twenty-one".