105605610055806 has 32 divisors (see below), whose sum is σ = 241388834618880. Its totient is φ = 30172458561696.

The previous prime is 105605610055633. The next prime is 105605610055861. The reversal of 105605610055806 is 608550016506501.

It is a super-3 number, since 3×105605610055806³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21629221 + ... + 26058288.

It is an arithmetic number, because the mean of its divisors is an integer number (7543401081840).

Almost surely, 2^{105605610055806} is an apocalyptic number.

105605610055806 is an abundant number, since it is smaller than the sum of its proper divisors (135783224563074).

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

105605610055806 is a wasteful number, since it uses less digits than its factorization.

105605610055806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47740248.

The product of its (nonzero) digits is 1080000, while the sum is 48.

The spelling of 105605610055806 in words is "one hundred five trillion, six hundred five billion, six hundred ten million, fifty-five thousand, eight hundred six".