105204240049 has 2 divisors, whose sum is σ = 105204240050. Its totient is φ = 105204240048.

The previous prime is 105204239999. The next prime is 105204240059. The reversal of 105204240049 is 940042402501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104888538225 + 315701824 = 323865^2 + 17768^2 .

It is a cyclic number.

It is not a de Polignac number, because 105204240049 - 2¹⁹ = 105203715761 is a prime.

It is a super-2 number, since 2×105204240049² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105204240049.

It is not a weakly prime, because it can be changed into another prime (105204240059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52602120024 + 52602120025.

It is an arithmetic number, because the mean of its divisors is an integer number (52602120025).

Almost surely, 2^105204240049 is an apocalyptic number.

It is an amenable number.

105204240049 is a deficient number, since it is larger than the sum of its proper divisors (1).

105204240049 is an equidigital number, since it uses as much as digits as its factorization.

105204240049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 105204240049 in words is "one hundred five billion, two hundred four million, two hundred forty thousand, forty-nine".