105504433505249 has 2 divisors, whose sum is σ = 105504433505250. Its totient is φ = 105504433505248.

The previous prime is 105504433505123. The next prime is 105504433505269. The reversal of 105504433505249 is 942505334405501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90816706848400 + 14687726656849 = 9529780^2 + 3832457^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105504433505249 is a prime.

It is a super-2 number, since 2×105504433505249² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105504433505197 and 105504433505206.

It is not a weakly prime, because it can be changed into another prime (105504433505269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52752216752624 + 52752216752625.

It is an arithmetic number, because the mean of its divisors is an integer number (52752216752625).

Almost surely, 2^{105504433505249} is an apocalyptic number.

It is an amenable number.

105504433505249 is a deficient number, since it is larger than the sum of its proper divisors (1).

105504433505249 is an equidigital number, since it uses as much as digits as its factorization.

105504433505249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480000, while the sum is 50.

The spelling of 105504433505249 in words is "one hundred five trillion, five hundred four billion, four hundred thirty-three million, five hundred five thousand, two hundred forty-nine".