105354244013 has 2 divisors, whose sum is σ = 105354244014. Its totient is φ = 105354244012.

The previous prime is 105354243989. The next prime is 105354244033. The reversal of 105354244013 is 310442453501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68721049609 + 36633194404 = 262147^2 + 191398^2 .

It is an emirp because it is prime and its reverse (310442453501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105354244013 - 2⁶ = 105354243949 is a prime.

It is a super-2 number, since 2×105354244013² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105354244033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52677122006 + 52677122007.

It is an arithmetic number, because the mean of its divisors is an integer number (52677122007).

Almost surely, 2^105354244013 is an apocalyptic number.

It is an amenable number.

105354244013 is a deficient number, since it is larger than the sum of its proper divisors (1).

105354244013 is an equidigital number, since it uses as much as digits as its factorization.

105354244013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 105354244013 its reverse (310442453501), we get a palindrome (415796697514).

The spelling of 105354244013 in words is "one hundred five billion, three hundred fifty-four million, two hundred forty-four thousand, thirteen".