105435509 has 2 divisors, whose sum is σ = 105435510. Its totient is φ = 105435508.

The previous prime is 105435469. The next prime is 105435569. The reversal of 105435509 is 905534501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95844100 + 9591409 = 9790^2 + 3097^2 .

It is an emirp because it is prime and its reverse (905534501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105435509 is a prime.

It is a super-2 number, since 2×105435509² = 22233293116178162, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105435569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52717754 + 52717755.

It is an arithmetic number, because the mean of its divisors is an integer number (52717755).

Almost surely, 2^105435509 is an apocalyptic number.

It is an amenable number.

105435509 is a deficient number, since it is larger than the sum of its proper divisors (1).

105435509 is an equidigital number, since it uses as much as digits as its factorization.

105435509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13500, while the sum is 32.

The square root of 105435509 is about 10268.1794394138. The cubic root of 105435509 is about 472.4207517120.

It can be divided in two parts, 1054 and 35509, that added together give a palindrome (36563).

The spelling of 105435509 in words is "one hundred five million, four hundred thirty-five thousand, five hundred nine".