105513475366073 has 2 divisors, whose sum is σ = 105513475366074. Its totient is φ = 105513475366072.

The previous prime is 105513475366007. The next prime is 105513475366097. The reversal of 105513475366073 is 370663574315501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104440776019129 + 1072699346944 = 10219627^2 + 1035712^2 .

It is a cyclic number.

It is not a de Polignac number, because 105513475366073 - 2²² = 105513471171769 is a prime.

It is a super-2 number, since 2×105513475366073² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105513475306073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52756737683036 + 52756737683037.

It is an arithmetic number, because the mean of its divisors is an integer number (52756737683037).

Almost surely, 2^{105513475366073} is an apocalyptic number.

It is an amenable number.

105513475366073 is a deficient number, since it is larger than the sum of its proper divisors (1).

105513475366073 is an equidigital number, since it uses as much as digits as its factorization.

105513475366073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23814000, while the sum is 56.

The spelling of 105513475366073 in words is "one hundred five trillion, five hundred thirteen billion, four hundred seventy-five million, three hundred sixty-six thousand, seventy-three".