105564040103 has 2 divisors, whose sum is σ = 105564040104. Its totient is φ = 105564040102.

The previous prime is 105564040027. The next prime is 105564040133. The reversal of 105564040103 is 301040465501.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105564040103 - 2³⁰ = 104490298279 is a prime.

It is a super-2 number, since 2×105564040103² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105564040133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52782020051 + 52782020052.

It is an arithmetic number, because the mean of its divisors is an integer number (52782020052).

Almost surely, 2^105564040103 is an apocalyptic number.

105564040103 is a deficient number, since it is larger than the sum of its proper divisors (1).

105564040103 is an equidigital number, since it uses as much as digits as its factorization.

105564040103 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 29.

The spelling of 105564040103 in words is "one hundred five billion, five hundred sixty-four million, forty thousand, one hundred three".