105564001 has 2 divisors, whose sum is σ = 105564002. Its totient is φ = 105564000.

The previous prime is 105563989. The next prime is 105564013. The reversal of 105564001 is 100465501.

It is a balanced prime because it is at equal distance from previous prime (105563989) and next prime (105564013).

It can be written as a sum of positive squares in only one way, i.e., 78783376 + 26780625 = 8876^2 + 5175^2 .

It is a cyclic number.

It is not a de Polignac number, because 105564001 - 2¹⁵ = 105531233 is a prime.

It is a super-2 number, since 2×105564001² = 22287516614256002, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105564301) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52782000 + 52782001.

It is an arithmetic number, because the mean of its divisors is an integer number (52782001).

Almost surely, 2^105564001 is an apocalyptic number.

It is an amenable number.

105564001 is a deficient number, since it is larger than the sum of its proper divisors (1).

105564001 is an equidigital number, since it uses as much as digits as its factorization.

105564001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 105564001 is about 10274.4343396607. The cubic root of 105564001 is about 472.6125834950.

It can be divided in two parts, 1055 and 64001, that added together give a palindrome (65056).

The spelling of 105564001 in words is "one hundred five million, five hundred sixty-four thousand, one".