105605050105605 has 64 divisors (see below), whose sum is σ = 181281354670080. Its totient is φ = 52365933734400.

The previous prime is 105605050105603. The next prime is 105605050105721. The reversal of 105605050105605 is 506501050506501.

It is not a de Polignac number, because 105605050105605 - 2¹ = 105605050105603 is a prime.

It is a super-2 number, since 2×105605050105605² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105605050105603) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9941415 + ... + 17608004.

It is an arithmetic number, because the mean of its divisors is an integer number (2832521166720).

Almost surely, 2^{105605050105605} is an apocalyptic number.

105605050105605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105605050105605 is a deficient number, since it is larger than the sum of its proper divisors (75676304564475).

105605050105605 is a wasteful number, since it uses less digits than its factorization.

105605050105605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27549762.

The product of its (nonzero) digits is 112500, while the sum is 39.

The spelling of 105605050105605 in words is "one hundred five trillion, six hundred five billion, fifty million, one hundred five thousand, six hundred five".