105244241056337 has 2 divisors, whose sum is σ = 105244241056338. Its totient is φ = 105244241056336.

The previous prime is 105244241056303. The next prime is 105244241056363. The reversal of 105244241056337 is 733650142442501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89297189178961 + 15947051877376 = 9449719^2 + 3993376^2 .

It is a cyclic number.

It is not a de Polignac number, because 105244241056337 - 2²⁸ = 105243972620881 is a prime.

It is a super-2 number, since 2×105244241056337² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105244241056291 and 105244241056300.

It is not a weakly prime, because it can be changed into another prime (105244241056397) 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, 52622120528168 + 52622120528169.

It is an arithmetic number, because the mean of its divisors is an integer number (52622120528169).

Almost surely, 2^{105244241056337} is an apocalyptic number.

It is an amenable number.

105244241056337 is a deficient number, since it is larger than the sum of its proper divisors (1).

105244241056337 is an equidigital number, since it uses as much as digits as its factorization.

105244241056337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2419200, while the sum is 47.

Adding to 105244241056337 its reverse (733650142442501), we get a palindrome (838894383498838).

The spelling of 105244241056337 in words is "one hundred five trillion, two hundred forty-four billion, two hundred forty-one million, fifty-six thousand, three hundred thirty-seven".