100794185361 has 27 divisors (see below), whose sum is σ = 147242980443. Its totient is φ = 66442423680.

The previous prime is 100794185321. The next prime is 100794185363. The reversal of 100794185361 is 163581497001.

The square root of 100794185361 is 317481.

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

100794185361 is a `hidden beast` number, since 1 + 0 + 0 + 79 + 41 + 8 + 536 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 45260435025 + 55533750336 = 212745^2 + 235656^2 .

It is not a de Polignac number, because 100794185361 - 2¹⁵ = 100794152593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100794185363) 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, 92386426 + ... + 92387516.

Almost surely, 2^100794185361 is an apocalyptic number.

100794185361 is the 317481-st square number.

100794185361 is the 158741-st centered octagonal number.

It is an amenable number.

100794185361 is a deficient number, since it is larger than the sum of its proper divisors (46448795082).

100794185361 is an frugal number, since it uses more digits than its factorization.

100794185361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 100794185361 in words is "one hundred billion, seven hundred ninety-four million, one hundred eighty-five thousand, three hundred sixty-one".