2105117065506 has 256 divisors, whose sum is σ = 5653096759296. Its totient is φ = 506881622016.

The previous prime is 2105117065481. The next prime is 2105117065507. The reversal of 2105117065506 is 6055607115012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2105117065507) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49275351 + ... + 49318053.

It is an arithmetic number, because the mean of its divisors is an integer number (22082409216).

Almost surely, 2^{2105117065506} is an apocalyptic number.

2105117065506 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105117065506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826548379648).

2105117065506 is an abundant number, since it is smaller than the sum of its proper divisors (3547979693790).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2105117065506 is a wasteful number, since it uses less digits than its factorization.

2105117065506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42905.

The product of its (nonzero) digits is 63000, while the sum is 39.

The spelling of 2105117065506 in words is "two trillion, one hundred five billion, one hundred seventeen million, sixty-five thousand, five hundred six".