105034500509 has 2 divisors, whose sum is σ = 105034500510. Its totient is φ = 105034500508.

The previous prime is 105034500469. The next prime is 105034500511. The reversal of 105034500509 is 905005430501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84301380409 + 20733120100 = 290347^2 + 143990^2 .

It is an emirp because it is prime and its reverse (905005430501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105034500509 is a prime.

It is a super-2 number, since 2×105034500509² (a number of 23 digits) contains 22 as substring.

Together with 105034500511, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105034500589) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52517250254 + 52517250255.

It is an arithmetic number, because the mean of its divisors is an integer number (52517250255).

Almost surely, 2^105034500509 is an apocalyptic number.

It is an amenable number.

105034500509 is a deficient number, since it is larger than the sum of its proper divisors (1).

105034500509 is an equidigital number, since it uses as much as digits as its factorization.

105034500509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13500, while the sum is 32.

The spelling of 105034500509 in words is "one hundred five billion, thirty-four million, five hundred thousand, five hundred nine".