105160368377205 has 40 divisors (see below), whose sum is σ = 188562936247224. Its totient is φ = 56069690140800.

The previous prime is 105160368377159. The next prime is 105160368377227. The reversal of 105160368377205 is 502773863061501.

105160368377205 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 6 + 0 + 3 + 68 + 377 + 205 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1004178355569 + 104156190021636 = 1002087^2 + 10205694^2 .

It is not a de Polignac number, because 105160368377205 - 2²⁹ = 105159831506293 is a prime.

It is a super-2 number, since 2×105160368377205² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35230006 + ... + 38098215.

Almost surely, 2^{105160368377205} is an apocalyptic number.

105160368377205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105160368377205 is a deficient number, since it is larger than the sum of its proper divisors (83402567870019).

105160368377205 is an equidigital number, since it uses as much as digits as its factorization.

105160368377205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73331779 (or 73331770 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 105160368377205 in words is "one hundred five trillion, one hundred sixty billion, three hundred sixty-eight million, three hundred seventy-seven thousand, two hundred five".