105245214443249 has 2 divisors, whose sum is σ = 105245214443250. Its totient is φ = 105245214443248.

The previous prime is 105245214443221. The next prime is 105245214443269. The reversal of 105245214443249 is 942344412542501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80388438721600 + 24856775721649 = 8965960^2 + 4985657^2 .

It is an emirp because it is prime and its reverse (942344412542501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105245214443249 - 2⁸ = 105245214442993 is a prime.

It is a super-2 number, since 2×105245214443249² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105245214443197 and 105245214443206.

It is not a weakly prime, because it can be changed into another prime (105245214443269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52622607221624 + 52622607221625.

It is an arithmetic number, because the mean of its divisors is an integer number (52622607221625).

Almost surely, 2^{105245214443249} is an apocalyptic number.

It is an amenable number.

105245214443249 is a deficient number, since it is larger than the sum of its proper divisors (1).

105245214443249 is an equidigital number, since it uses as much as digits as its factorization.

105245214443249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5529600, while the sum is 50.

The spelling of 105245214443249 in words is "one hundred five trillion, two hundred forty-five billion, two hundred fourteen million, four hundred forty-three thousand, two hundred forty-nine".