105561 has 12 divisors (see below), whose sum is σ = 157092. Its totient is φ = 68256.

The previous prime is 105557. The next prime is 105563. The reversal of 105561 is 165501.

105561 is a `hidden beast` number, since 105 + 561 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47961 + 57600 = 219^2 + 240^2 .

It is not a de Polignac number, because 105561 - 2² = 105557 is a prime.

It is a super-2 number, since 2×105561² = 22286249442, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175 + ... + 491.

It is an arithmetic number, because the mean of its divisors is an integer number (13091).

2¹⁰⁵⁵⁶¹ is an apocalyptic number.

It is an amenable number.

105561 is a deficient number, since it is larger than the sum of its proper divisors (51531).

105561 is a wasteful number, since it uses less digits than its factorization.

105561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 105561 is about 324.9015235421. The cubic root of 105561 is about 47.2608104936.

It can be divided in two parts, 105 and 561, that added together give a palindrome (666).

The spelling of 105561 in words is "one hundred five thousand, five hundred sixty-one".