105505113089 has 2 divisors, whose sum is σ = 105505113090. Its totient is φ = 105505113088.

The previous prime is 105505113079. The next prime is 105505113143. The reversal of 105505113089 is 980311505501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83849047489 + 21656065600 = 289567^2 + 147160^2 .

It is a cyclic number.

It is not a de Polignac number, because 105505113089 - 2⁸ = 105505112833 is a prime.

It is a super-2 number, since 2×105505113089² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (105505113019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52752556544 + 52752556545.

It is an arithmetic number, because the mean of its divisors is an integer number (52752556545).

Almost surely, 2^105505113089 is an apocalyptic number.

It is an amenable number.

105505113089 is a deficient number, since it is larger than the sum of its proper divisors (1).

105505113089 is an equidigital number, since it uses as much as digits as its factorization.

105505113089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27000, while the sum is 38.

The spelling of 105505113089 in words is "one hundred five billion, five hundred five million, one hundred thirteen thousand, eighty-nine".