105605050105610 has 128 divisors (see below), whose sum is σ = 211770231349248. Its totient is φ = 37595503456000.

The previous prime is 105605050105603. The next prime is 105605050105721. The reversal of 105605050105610 is 16501050506501.

It is a super-2 number, since 2×105605050105610² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 638720672 + ... + 638885988.

It is an arithmetic number, because the mean of its divisors is an integer number (1654454932416).

Almost surely, 2^{105605050105610} is an apocalyptic number.

105605050105610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105605050105610 is an abundant number, since it is smaller than the sum of its proper divisors (106165181243638).

105605050105610 is a wasteful number, since it uses less digits than its factorization.

105605050105610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165980.

The product of its (nonzero) digits is 22500, while the sum is 35.

The spelling of 105605050105610 in words is "one hundred five trillion, six hundred five billion, fifty million, one hundred five thousand, six hundred ten".