105440509 has 2 divisors, whose sum is σ = 105440510. Its totient is φ = 105440508.

The previous prime is 105440407. The next prime is 105440521. The reversal of 105440509 is 905044501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103124025 + 2316484 = 10155^2 + 1522^2 .

It is an emirp because it is prime and its reverse (905044501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105440509 - 2¹⁹ = 104916221 is a prime.

It is a super-2 number, since 2×105440509² = 22235401876358162, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105440539) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52720254 + 52720255.

It is an arithmetic number, because the mean of its divisors is an integer number (52720255).

Almost surely, 2^105440509 is an apocalyptic number.

It is an amenable number.

105440509 is a deficient number, since it is larger than the sum of its proper divisors (1).

105440509 is an equidigital number, since it uses as much as digits as its factorization.

105440509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 105440509 is about 10268.4229071460. The cubic root of 105440509 is about 472.4282193619.

The spelling of 105440509 in words is "one hundred five million, four hundred forty thousand, five hundred nine".