2117117105205 has 16 divisors (see below), whose sum is σ = 3387545269440. Its totient is φ = 1129076489088.

The previous prime is 2117117105203. The next prime is 2117117105209. The reversal of 2117117105205 is 5025017117112.

It is not a de Polignac number, because 2117117105205 - 2¹ = 2117117105203 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117117105203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2956000 + ... + 3601689.

It is an arithmetic number, because the mean of its divisors is an integer number (211721579340).

Almost surely, 2^{2117117105205} is an apocalyptic number.

It is an amenable number.

2117117105205 is a deficient number, since it is larger than the sum of its proper divisors (1270428164235).

2117117105205 is a wasteful number, since it uses less digits than its factorization.

2117117105205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6579220.

The product of its (nonzero) digits is 4900, while the sum is 33.

The spelling of 2117117105205 in words is "two trillion, one hundred seventeen billion, one hundred seventeen million, one hundred five thousand, two hundred five".