105524504509 has 2 divisors, whose sum is σ = 105524504510. Its totient is φ = 105524504508.

The previous prime is 105524504497. The next prime is 105524504513. The reversal of 105524504509 is 905405425501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 53834208484 + 51690296025 = 232022^2 + 227355^2 .

It is a cyclic number.

It is not a de Polignac number, because 105524504509 - 2²⁵ = 105490950077 is a prime.

It is a super-2 number, since 2×105524504509² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105524505509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52762252254 + 52762252255.

It is an arithmetic number, because the mean of its divisors is an integer number (52762252255).

Almost surely, 2^105524504509 is an apocalyptic number.

It is an amenable number.

105524504509 is a deficient number, since it is larger than the sum of its proper divisors (1).

105524504509 is an equidigital number, since it uses as much as digits as its factorization.

105524504509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180000, while the sum is 40.

The spelling of 105524504509 in words is "one hundred five billion, five hundred twenty-four million, five hundred four thousand, five hundred nine".