105661100605566 has 32 divisors (see below), whose sum is σ = 230546884019328. Its totient is φ = 32016630111840.

The previous prime is 105661100605561. The next prime is 105661100605589. The reversal of 105661100605566 is 665506001166501.

It is a super-2 number, since 2×105661100605566² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105661100605561) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 46000945 + ... + 48243228.

It is an arithmetic number, because the mean of its divisors is an integer number (7204590125604).

Almost surely, 2^{105661100605566} is an apocalyptic number.

105661100605566 is an abundant number, since it is smaller than the sum of its proper divisors (124885783413762).

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

105661100605566 is a wasteful number, since it uses less digits than its factorization.

105661100605566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94261176.

The product of its (nonzero) digits is 972000, while the sum is 48.

The spelling of 105661100605566 in words is "one hundred five trillion, six hundred sixty-one billion, one hundred million, six hundred five thousand, five hundred sixty-six".