107605000198089 has 45 divisors (see below), whose sum is σ = 165210404750391. Its totient is φ = 69795597337200.

The previous prime is 107605000198027. The next prime is 107605000198099. The reversal of 107605000198089 is 980891000506701.

The square root of 107605000198089 is 10373283.

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

107605000198089 is a `hidden beast` number, since 10 + 7 + 605 + 0 + 0 + 0 + 19 + 8 + 0 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96286431879225 + 11318568318864 = 9812565^2 + 3364308^2 .

It is not a de Polignac number, because 107605000198089 - 2⁹ = 107605000197577 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (107605000198099) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3454287664 + ... + 3454318814.

Almost surely, 2^{107605000198089} is an apocalyptic number.

107605000198089 is the 10373283-rd square number.

107605000198089 is the 5186642-nd centered octagonal number.

It is an amenable number.

107605000198089 is a deficient number, since it is larger than the sum of its proper divisors (57605404552302).

107605000198089 is an frugal number, since it uses more digits than its factorization.

107605000198089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62388 (or 31191 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 107605000198089 in words is "one hundred seven trillion, six hundred five billion, one hundred ninety-eight thousand, eighty-nine".