105561106006110 has 64 divisors (see below), whose sum is σ = 260407664016192. Its totient is φ = 27366321954816.

The previous prime is 105561106006039. The next prime is 105561106006121. The reversal of 105561106006110 is 11600601165501.

It is a super-2 number, since 2×105561106006110² (a number of 29 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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37720657 + ... + 40422396.

It is an arithmetic number, because the mean of its divisors is an integer number (4068869750253).

Almost surely, 2^{105561106006110} is an apocalyptic number.

105561106006110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105561106006110 is an abundant number, since it is smaller than the sum of its proper divisors (154846558010082).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105561106006110 is a wasteful number, since it uses less digits than its factorization.

105561106006110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78144317.

The product of its (nonzero) digits is 5400, while the sum is 33.

The spelling of 105561106006110 in words is "one hundred five trillion, five hundred sixty-one billion, one hundred six million, six thousand, one hundred ten".