105540110213 has 2 divisors, whose sum is σ = 105540110214. Its totient is φ = 105540110212.

The previous prime is 105540110197. The next prime is 105540110227. The reversal of 105540110213 is 312011045501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103412410084 + 2127700129 = 321578^2 + 46127^2 .

It is a cyclic number.

It is not a de Polignac number, because 105540110213 - 2⁴ = 105540110197 is a prime.

It is a super-2 number, since 2×105540110213² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105540110233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52770055106 + 52770055107.

It is an arithmetic number, because the mean of its divisors is an integer number (52770055107).

Almost surely, 2^105540110213 is an apocalyptic number.

It is an amenable number.

105540110213 is a deficient number, since it is larger than the sum of its proper divisors (1).

105540110213 is an equidigital number, since it uses as much as digits as its factorization.

105540110213 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 23.

Adding to 105540110213 its reverse (312011045501), we get a palindrome (417551155714).

The spelling of 105540110213 in words is "one hundred five billion, five hundred forty million, one hundred ten thousand, two hundred thirteen".