105561006061110 has 64 divisors (see below), whose sum is σ = 254876458291200. Its totient is φ = 27979882254720.

The previous prime is 105561006061031. The next prime is 105561006061139. The reversal of 105561006061110 is 11160600165501.

It is a super-2 number, since 2×105561006061110² (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, 3004977 + ... + 14837516.

It is an arithmetic number, because the mean of its divisors is an integer number (3982444660800).

Almost surely, 2^{105561006061110} is an apocalyptic number.

105561006061110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105561006061110 is an abundant number, since it is smaller than the sum of its proper divisors (149315452230090).

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

105561006061110 is a wasteful number, since it uses less digits than its factorization.

105561006061110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17843693.

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

The spelling of 105561006061110 in words is "one hundred five trillion, five hundred sixty-one billion, six million, sixty-one thousand, one hundred ten".