105605566605566 has 8 divisors (see below), whose sum is σ = 158409467766144. Its totient is φ = 52802410683520.

The previous prime is 105605566605481. The next prime is 105605566605571. The reversal of 105605566605566 is 665506665506501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-3 number, since 3×105605566605566³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105605566605499 and 105605566605508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 185955230 + ... + 186522273.

It is an arithmetic number, because the mean of its divisors is an integer number (19801183470768).

Almost surely, 2^{105605566605566} is an apocalyptic number.

105605566605566 is a deficient number, since it is larger than the sum of its proper divisors (52803901160578).

105605566605566 is a wasteful number, since it uses less digits than its factorization.

105605566605566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372619266.

The product of its (nonzero) digits is 145800000, while the sum is 62.

The spelling of 105605566605566 in words is "one hundred five trillion, six hundred five billion, five hundred sixty-six million, six hundred five thousand, five hundred sixty-six".