105144509 has 2 divisors, whose sum is σ = 105144510. Its totient is φ = 105144508.

The previous prime is 105144469. The next prime is 105144521. The reversal of 105144509 is 905441501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88416409 + 16728100 = 9403^2 + 4090^2 .

It is an emirp because it is prime and its reverse (905441501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105144509 - 2⁸ = 105144253 is a prime.

It is a super-2 number, since 2×105144509² = 22110735545702162, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105144409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52572254 + 52572255.

It is an arithmetic number, because the mean of its divisors is an integer number (52572255).

Almost surely, 2^105144509 is an apocalyptic number.

It is an amenable number.

105144509 is a deficient number, since it is larger than the sum of its proper divisors (1).

105144509 is an equidigital number, since it uses as much as digits as its factorization.

105144509 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 105144509 is about 10253.9996586698. Note that the first 3 decimals coincide. The cubic root of 105144509 is about 471.9857271491.

The spelling of 105144509 in words is "one hundred five million, one hundred forty-four thousand, five hundred nine".