105605105110 has 64 divisors (see below), whose sum is σ = 199935848448. Its totient is φ = 40113857664.

The previous prime is 105605105087. The next prime is 105605105129. The reversal of 105605105110 is 11501506501.

It is a super-2 number, since 2×105605105110² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6373857 + ... + 6390403.

It is an arithmetic number, because the mean of its divisors is an integer number (3123997632).

Almost surely, 2^105605105110 is an apocalyptic number.

105605105110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105605105110 is a deficient number, since it is larger than the sum of its proper divisors (94330743338).

105605105110 is a wasteful number, since it uses less digits than its factorization.

105605105110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17005.

The product of its (nonzero) digits is 750, while the sum is 25.

The spelling of 105605105110 in words is "one hundred five billion, six hundred five million, one hundred five thousand, one hundred ten".