105055105561105 has 12 divisors (see below), whose sum is σ = 146648351436660. Its totient is φ = 72037786670304.

The previous prime is 105055105561103. The next prime is 105055105561157. The reversal of 105055105561105 is 501165501550501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 71871872041984 + 33183233519121 = 8477728^2 + 5760489^2 .

It is not a de Polignac number, because 105055105561105 - 2¹ = 105055105561103 is a prime.

It is a super-2 number, since 2×105055105561105² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105055105561103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 214398174370 + ... + 214398174859.

It is an arithmetic number, because the mean of its divisors is an integer number (12220695953055).

Almost surely, 2^{105055105561105} is an apocalyptic number.

It is an amenable number.

105055105561105 is a deficient number, since it is larger than the sum of its proper divisors (41593245875555).

105055105561105 is an equidigital number, since it uses as much as digits as its factorization.

105055105561105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428796349248 (or 428796349241 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 40.

The spelling of 105055105561105 in words is "one hundred five trillion, fifty-five billion, one hundred five million, five hundred sixty-one thousand, one hundred five".