105305635546313 has 2 divisors, whose sum is σ = 105305635546314. Its totient is φ = 105305635546312.

The previous prime is 105305635546303. The next prime is 105305635546339. The reversal of 105305635546313 is 313645536503501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83146896354064 + 22158739192249 = 9118492^2 + 4707307^2 .

It is a cyclic number.

It is not a de Polignac number, because 105305635546313 - 2⁶ = 105305635546249 is a prime.

It is a super-2 number, since 2×105305635546313² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105305635546303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52652817773156 + 52652817773157.

It is an arithmetic number, because the mean of its divisors is an integer number (52652817773157).

Almost surely, 2^{105305635546313} is an apocalyptic number.

It is an amenable number.

105305635546313 is a deficient number, since it is larger than the sum of its proper divisors (1).

105305635546313 is an equidigital number, since it uses as much as digits as its factorization.

105305635546313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7290000, while the sum is 50.

The spelling of 105305635546313 in words is "one hundred five trillion, three hundred five billion, six hundred thirty-five million, five hundred forty-six thousand, three hundred thirteen".