105500509 has 2 divisors, whose sum is σ = 105500510. Its totient is φ = 105500508.

The previous prime is 105500501. The next prime is 105500567. The reversal of 105500509 is 905005501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93180409 + 12320100 = 9653^2 + 3510^2 .

It is an emirp because it is prime and its reverse (905005501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105500509 - 2³ = 105500501 is a prime.

It is a super-2 number, since 2×105500509² = 22260714798518162, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105500501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52750254 + 52750255.

It is an arithmetic number, because the mean of its divisors is an integer number (52750255).

Almost surely, 2^105500509 is an apocalyptic number.

It is an amenable number.

105500509 is a deficient number, since it is larger than the sum of its proper divisors (1).

105500509 is an equidigital number, since it uses as much as digits as its factorization.

105500509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1125, while the sum is 25.

The square root of 105500509 is about 10271.3440697895. The cubic root of 105500509 is about 472.5178127529.

The spelling of 105500509 in words is "one hundred five million, five hundred thousand, five hundred nine".