105313541402205 has 80 divisors (see below), whose sum is σ = 194981124579120. Its totient is φ = 54352565609472.

The previous prime is 105313541402191. The next prime is 105313541402213. The reversal of 105313541402205 is 502204145313501.

105313541402205 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 1 + 3 + 5 + 41 + 402 + 205 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3866201982756 + 101447339419449 = 1966266^2 + 10072107^2 .

It is not a de Polignac number, because 105313541402205 - 2²⁶ = 105313474293341 is a prime.

It is a super-2 number, since 2×105313541402205² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105313541402205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32037790 + ... + 35171679.

It is an arithmetic number, because the mean of its divisors is an integer number (2437264057239).

Almost surely, 2^{105313541402205} is an apocalyptic number.

105313541402205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105313541402205 is a deficient number, since it is larger than the sum of its proper divisors (89667583176915).

105313541402205 is an equidigital number, since it uses as much as digits as its factorization.

105313541402205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67209612 (or 67209603 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 105313541402205 its reverse (502204145313501), we get a palindrome (607517686715706).

The spelling of 105313541402205 in words is "one hundred five trillion, three hundred thirteen billion, five hundred forty-one million, four hundred two thousand, two hundred five".