2105534510009 has 12 divisors (see below), whose sum is σ = 2593371438324. Its totient is φ = 1698582461184.

The previous prime is 2105534509979. The next prime is 2105534510011. The reversal of 2105534510009 is 9000154355012.

It can be written as a sum of positive squares in 2 ways, for example, as 1557823504384 + 547711005625 = 1248128^2 + 740075^2 .

It is not a de Polignac number, because 2105534510009 - 2⁸ = 2105534509753 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2105534510309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1263825404 + ... + 1263827069.

It is an arithmetic number, because the mean of its divisors is an integer number (216114286527).

Almost surely, 2^{2105534510009} is an apocalyptic number.

It is an amenable number.

2105534510009 is a deficient number, since it is larger than the sum of its proper divisors (487836928315).

2105534510009 is a wasteful number, since it uses less digits than its factorization.

2105534510009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527652504 (or 2527652497 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 2105534510009 in words is "two trillion, one hundred five billion, five hundred thirty-four million, five hundred ten thousand, nine".