105563145613 has 2 divisors, whose sum is σ = 105563145614. Its totient is φ = 105563145612.

The previous prime is 105563145599. The next prime is 105563145637. The reversal of 105563145613 is 316541365501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101838850884 + 3724294729 = 319122^2 + 61027^2 .

It is an emirp because it is prime and its reverse (316541365501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105563145613 - 2¹⁷ = 105563014541 is a prime.

It is a super-2 number, since 2×105563145613² (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 (105563145643) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52781572806 + 52781572807.

It is an arithmetic number, because the mean of its divisors is an integer number (52781572807).

Almost surely, 2^105563145613 is an apocalyptic number.

It is an amenable number.

105563145613 is a deficient number, since it is larger than the sum of its proper divisors (1).

105563145613 is an equidigital number, since it uses as much as digits as its factorization.

105563145613 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162000, while the sum is 40.

The spelling of 105563145613 in words is "one hundred five billion, five hundred sixty-three million, one hundred forty-five thousand, six hundred thirteen".