105900505041185 has 8 divisors (see below), whose sum is σ = 127084777048680. Its totient is φ = 84717623366784.

The previous prime is 105900505041137. The next prime is 105900505041229. The reversal of 105900505041185 is 581140505009501.

It can be written as a sum of positive squares in 4 ways, for example, as 16860295364641 + 89040209676544 = 4106129^2 + 9436112^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105900505041185 - 2²⁰ = 105900503992609 is a prime.

It is a super-2 number, since 2×105900505041185² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 347415692 + ... + 347720381.

It is an arithmetic number, because the mean of its divisors is an integer number (15885597131085).

Almost surely, 2^{105900505041185} is an apocalyptic number.

It is an amenable number.

105900505041185 is a deficient number, since it is larger than the sum of its proper divisors (21184272007495).

105900505041185 is an equidigital number, since it uses as much as digits as its factorization.

105900505041185 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695166547.

The product of its (nonzero) digits is 180000, while the sum is 44.

The spelling of 105900505041185 in words is "one hundred five trillion, nine hundred billion, five hundred five million, forty-one thousand, one hundred eighty-five".