110505565161 has 6 divisors (see below), whose sum is σ = 159619149690. Its totient is φ = 73670376768.

The previous prime is 110505565153. The next prime is 110505565169. The reversal of 110505565161 is 161565505011.

It is a happy number.

110505565161 is a `hidden beast` number, since 1 + 1 + 0 + 50 + 556 + 51 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (110505565153) and next prime (110505565169).

It can be written as a sum of positive squares in only one way, i.e., 108458907561 + 2046657600 = 329331^2 + 45240^2 .

It is not a de Polignac number, because 110505565161 - 2³ = 110505565153 is a prime.

It is a super-2 number, since 2×110505565161² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (110505565169) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6139198056 + ... + 6139198073.

It is an arithmetic number, because the mean of its divisors is an integer number (26603191615).

Almost surely, 2^110505565161 is an apocalyptic number.

It is an amenable number.

110505565161 is a deficient number, since it is larger than the sum of its proper divisors (49113584529).

110505565161 is a wasteful number, since it uses less digits than its factorization.

110505565161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12278396135 (or 12278396132 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 110505565161 in words is "one hundred ten billion, five hundred five million, five hundred sixty-five thousand, one hundred sixty-one".