105511161 has 48 divisors (see below), whose sum is σ = 177092160. Its totient is φ = 55520640.

The previous prime is 105511157. The next prime is 105511171. The reversal of 105511161 is 161115501.

It is a happy number.

It is not a de Polignac number, because 105511161 - 2² = 105511157 is a prime.

It is a super-2 number, since 2×105511161² = 22265210191135842, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (105511171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102831 + ... + 103851.

It is an arithmetic number, because the mean of its divisors is an integer number (3689420).

Almost surely, 2^105511161 is an apocalyptic number.

It is an amenable number.

105511161 is a deficient number, since it is larger than the sum of its proper divisors (71580999).

105511161 is a wasteful number, since it uses less digits than its factorization.

105511161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 21.

The square root of 105511161 is about 10271.8625866977. The cubic root of 105511161 is about 472.5337150153.

Adding to 105511161 its reverse (161115501), we get a palindrome (266626662).

The spelling of 105511161 in words is "one hundred five million, five hundred eleven thousand, one hundred sixty-one".