105605161566 has 32 divisors (see below), whose sum is σ = 211507960320. Its totient is φ = 35152150944.

The previous prime is 105605161517. The next prime is 105605161567. The reversal of 105605161566 is 665161506501.

It is a super-2 number, since 2×105605161566² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105605161567) 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, 23040511 + ... + 23045093.

It is an arithmetic number, because the mean of its divisors is an integer number (6609623760).

Almost surely, 2^105605161566 is an apocalyptic number.

105605161566 is an abundant number, since it is smaller than the sum of its proper divisors (105902798754).

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

105605161566 is a wasteful number, since it uses less digits than its factorization.

105605161566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9160.

The product of its (nonzero) digits is 162000, while the sum is 42.

The spelling of 105605161566 in words is "one hundred five billion, six hundred five million, one hundred sixty-one thousand, five hundred sixty-six".