106500509 has 2 divisors, whose sum is σ = 106500510. Its totient is φ = 106500508.

The previous prime is 106500481. The next prime is 106500517. The reversal of 106500509 is 905005601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54804409 + 51696100 = 7403^2 + 7190^2 .

It is a cyclic number.

It is not a de Polignac number, because 106500509 - 2⁸ = 106500253 is a prime.

It is a super-2 number, since 2×106500509² = 22684716834518162, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106500539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53250254 + 53250255.

It is an arithmetic number, because the mean of its divisors is an integer number (53250255).

Almost surely, 2^106500509 is an apocalyptic number.

It is an amenable number.

106500509 is a deficient number, since it is larger than the sum of its proper divisors (1).

106500509 is an equidigital number, since it uses as much as digits as its factorization.

106500509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1350, while the sum is 26.

The square root of 106500509 is about 10319.9083813763. The cubic root of 106500509 is about 474.0060605016.

The spelling of 106500509 in words is "one hundred six million, five hundred thousand, five hundred nine".