105506509 has 2 divisors, whose sum is σ = 105506510. Its totient is φ = 105506508.

The previous prime is 105506507. The next prime is 105506537. The reversal of 105506509 is 905605501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94517284 + 10989225 = 9722^2 + 3315^2 .

It is a cyclic number.

It is not a de Polignac number, because 105506509 - 2¹ = 105506507 is a prime.

It is a super-2 number, since 2×105506509² = 22263246882734162, which contains 22 as substring.

Together with 105506507, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105506501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52753254 + 52753255.

It is an arithmetic number, because the mean of its divisors is an integer number (52753255).

Almost surely, 2^105506509 is an apocalyptic number.

It is an amenable number.

105506509 is a deficient number, since it is larger than the sum of its proper divisors (1).

105506509 is an equidigital number, since it uses as much as digits as its factorization.

105506509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6750, while the sum is 31.

The square root of 105506509 is about 10271.6361403624. The cubic root of 105506509 is about 472.5267702235.

The spelling of 105506509 in words is "one hundred five million, five hundred six thousand, five hundred nine".