105605105506059 has 16 divisors (see below), whose sum is σ = 141517992672000. Its totient is φ = 70047829073376.

The previous prime is 105605105506013. The next prime is 105605105506063. The reversal of 105605105506059 is 950605501506501.

It is a happy number.

It is not a de Polignac number, because 105605105506059 - 2⁹ = 105605105505547 is a prime.

It is a super-2 number, since 2×105605105506059² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105605105505999 and 105605105506017.

It is not an unprimeable number, because it can be changed into a prime (105605105502059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21348232 + ... + 25825514.

It is an arithmetic number, because the mean of its divisors is an integer number (8844874542000).

Almost surely, 2^{105605105506059} is an apocalyptic number.

105605105506059 is a deficient number, since it is larger than the sum of its proper divisors (35912887165941).

105605105506059 is a wasteful number, since it uses less digits than its factorization.

105605105506059 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4516994.

The product of its (nonzero) digits is 1012500, while the sum is 48.

The spelling of 105605105506059 in words is "one hundred five trillion, six hundred five billion, one hundred five million, five hundred six thousand, fifty-nine".