105636288073 has 2 divisors, whose sum is σ = 105636288074. Its totient is φ = 105636288072.

The previous prime is 105636287971. The next prime is 105636288077. The reversal of 105636288073 is 370882636501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91828393024 + 13807895049 = 303032^2 + 117507^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105636288073 is a prime.

It is a super-2 number, since 2×105636288073² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105636288077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52818144036 + 52818144037.

It is an arithmetic number, because the mean of its divisors is an integer number (52818144037).

Almost surely, 2^105636288073 is an apocalyptic number.

It is an amenable number.

105636288073 is a deficient number, since it is larger than the sum of its proper divisors (1).

105636288073 is an equidigital number, since it uses as much as digits as its factorization.

105636288073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 105636288073 in words is "one hundred five billion, six hundred thirty-six million, two hundred eighty-eight thousand, seventy-three".