105110561 has 2 divisors, whose sum is σ = 105110562. Its totient is φ = 105110560.

The previous prime is 105110479. The next prime is 105110581. The reversal of 105110561 is 165011501.

It is an a-pointer prime, because the next prime (105110581) can be obtained adding 105110561 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52635025 + 52475536 = 7255^2 + 7244^2 .

It is a cyclic number.

It is not a de Polignac number, because 105110561 - 2²⁶ = 38001697 is a prime.

It is a super-2 number, since 2×105110561² = 22096460067469442, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105110581) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52555280 + 52555281.

It is an arithmetic number, because the mean of its divisors is an integer number (52555281).

Almost surely, 2^105110561 is an apocalyptic number.

It is an amenable number.

105110561 is a deficient number, since it is larger than the sum of its proper divisors (1).

105110561 is an equidigital number, since it uses as much as digits as its factorization.

105110561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 150, while the sum is 20.

The square root of 105110561 is about 10252.3441709689. The cubic root of 105110561 is about 471.9349250154.

The spelling of 105110561 in words is "one hundred five million, one hundred ten thousand, five hundred sixty-one".