115772104009 has 27 divisors (see below), whose sum is σ = 120933517383. Its totient is φ = 110829929184.

The previous prime is 115772104001. The next prime is 115772104087. The reversal of 115772104009 is 900401277511.

The square root of 115772104009 is 340253.

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., 65717886025 + 50054217984 = 256355^2 + 223728^2 .

It is not a de Polignac number, because 115772104009 - 2³ = 115772104001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115772104001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1465469632 + ... + 1465469710.

Almost surely, 2^115772104009 is an apocalyptic number.

115772104009 is the 340253-rd square number.

115772104009 is the 170127-th centered octagonal number.

It is an amenable number.

115772104009 is a deficient number, since it is larger than the sum of its proper divisors (5161413374).

115772104009 is an frugal number, since it uses more digits than its factorization.

115772104009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 37.

The spelling of 115772104009 in words is "one hundred fifteen billion, seven hundred seventy-two million, one hundred four thousand, nine".