105344509 has 2 divisors, whose sum is σ = 105344510. Its totient is φ = 105344508.

The previous prime is 105344507. The next prime is 105344527. The reversal of 105344509 is 905443501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99560484 + 5784025 = 9978^2 + 2405^2 .

It is a cyclic number.

It is not a de Polignac number, because 105344509 - 2¹ = 105344507 is a prime.

It is a super-2 number, since 2×105344509² = 22194931152902162, which contains 22 as substring.

Together with 105344507, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105344507) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52672254 + 52672255.

It is an arithmetic number, because the mean of its divisors is an integer number (52672255).

Almost surely, 2^105344509 is an apocalyptic number.

It is an amenable number.

105344509 is a deficient number, since it is larger than the sum of its proper divisors (1).

105344509 is an equidigital number, since it uses as much as digits as its factorization.

105344509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 105344509 is about 10263.7473176224. The cubic root of 105344509 is about 472.2847992140.

The spelling of 105344509 in words is "one hundred five million, three hundred forty-four thousand, five hundred nine".