105561011006106 has 16 divisors (see below), whose sum is σ = 211122122799744. Its totient is φ = 35186986870784.

The previous prime is 105561011006093. The next prime is 105561011006153. The reversal of 105561011006106 is 601600110165501.

It is a super-2 number, since 2×105561011006106² (a number of 29 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 21762970 + ... + 26167706.

It is an arithmetic number, because the mean of its divisors is an integer number (13195132674984).

Almost surely, 2^{105561011006106} is an apocalyptic number.

105561011006106 is an abundant number, since it is smaller than the sum of its proper divisors (105561111793638).

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

105561011006106 is a wasteful number, since it uses less digits than its factorization.

105561011006106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8398965.

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

The spelling of 105561011006106 in words is "one hundred five trillion, five hundred sixty-one billion, eleven million, six thousand, one hundred six".