105354246509 has 2 divisors, whose sum is σ = 105354246510. Its totient is φ = 105354246508.

The previous prime is 105354246461. The next prime is 105354246587. The reversal of 105354246509 is 905642453501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104901493225 + 452753284 = 323885^2 + 21278^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105354246509 is a prime.

It is a super-2 number, since 2×105354246509² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105354246509.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105354246209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52677123254 + 52677123255.

It is an arithmetic number, because the mean of its divisors is an integer number (52677123255).

Almost surely, 2^105354246509 is an apocalyptic number.

It is an amenable number.

105354246509 is a deficient number, since it is larger than the sum of its proper divisors (1).

105354246509 is an equidigital number, since it uses as much as digits as its factorization.

105354246509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648000, while the sum is 44.

The spelling of 105354246509 in words is "one hundred five billion, three hundred fifty-four million, two hundred forty-six thousand, five hundred nine".