105564521 has 2 divisors, whose sum is σ = 105564522. Its totient is φ = 105564520.

The previous prime is 105564469. The next prime is 105564539. The reversal of 105564521 is 125465501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101707225 + 3857296 = 10085^2 + 1964^2 .

It is a cyclic number.

It is not a de Polignac number, because 105564521 - 2¹⁴ = 105548137 is a prime.

It is a super-2 number, since 2×105564521² = 22287736187918882, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (105564581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52782260 + 52782261.

It is an arithmetic number, because the mean of its divisors is an integer number (52782261).

Almost surely, 2^105564521 is an apocalyptic number.

It is an amenable number.

105564521 is a deficient number, since it is larger than the sum of its proper divisors (1).

105564521 is an equidigital number, since it uses as much as digits as its factorization.

105564521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6000, while the sum is 29.

The square root of 105564521 is about 10274.4596451590. The cubic root of 105564521 is about 472.6133595112.

The spelling of 105564521 in words is "one hundred five million, five hundred sixty-four thousand, five hundred twenty-one".