105874314074513 has 2 divisors, whose sum is σ = 105874314074514. Its totient is φ = 105874314074512.

The previous prime is 105874314074489. The next prime is 105874314074519. The reversal of 105874314074513 is 315470413478501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84174899897344 + 21699414177169 = 9174688^2 + 4658263^2 .

It is an emirp because it is prime and its reverse (315470413478501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105874314074513 - 2⁸ = 105874314074257 is a prime.

It is a super-2 number, since 2×105874314074513² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105874314074519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52937157037256 + 52937157037257.

It is an arithmetic number, because the mean of its divisors is an integer number (52937157037257).

Almost surely, 2^{105874314074513} is an apocalyptic number.

It is an amenable number.

105874314074513 is a deficient number, since it is larger than the sum of its proper divisors (1).

105874314074513 is an equidigital number, since it uses as much as digits as its factorization.

105874314074513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5644800, while the sum is 53.

The spelling of 105874314074513 in words is "one hundred five trillion, eight hundred seventy-four billion, three hundred fourteen million, seventy-four thousand, five hundred thirteen".