101504048409 has 27 divisors (see below), whose sum is σ = 155773746687. Its totient is φ = 63678619584.

The previous prime is 101504048389. The next prime is 101504048411. The reversal of 101504048409 is 904840405101.

The square root of 101504048409 is 318597.

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

101504048409 is a `hidden beast` number, since 101 + 504 + 0 + 4 + 8 + 40 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79025643225 + 22478405184 = 281115^2 + 149928^2 .

It is not a de Polignac number, because 101504048409 - 2¹⁹ = 101503524121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101504048489) 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, 16245324 + ... + 16251570.

Almost surely, 2^101504048409 is an apocalyptic number.

101504048409 is the 318597-th square number.

101504048409 is the 159299-th centered octagonal number.

It is an amenable number.

101504048409 is a deficient number, since it is larger than the sum of its proper divisors (54269698278).

101504048409 is an frugal number, since it uses more digits than its factorization.

101504048409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12534 (or 6267 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Multiplying 101504048409 by its sum of digits (36), we get a square (3654145742724 = 1911582²).

The spelling of 101504048409 in words is "one hundred one billion, five hundred four million, forty-eight thousand, four hundred nine".