105466409 has 2 divisors, whose sum is σ = 105466410. Its totient is φ = 105466408.

The previous prime is 105466381. The next prime is 105466411. The reversal of 105466409 is 904664501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102414400 + 3052009 = 10120^2 + 1747^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105466409 is a prime.

It is a super-2 number, since 2×105466409² = 22246326854710562, which contains 22 as substring.

Together with 105466411, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105466429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52733204 + 52733205.

It is an arithmetic number, because the mean of its divisors is an integer number (52733205).

Almost surely, 2^105466409 is an apocalyptic number.

It is an amenable number.

105466409 is a deficient number, since it is larger than the sum of its proper divisors (1).

105466409 is an equidigital number, since it uses as much as digits as its factorization.

105466409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 105466409 is about 10269.6839776110. The cubic root of 105466409 is about 472.4668980104.

The spelling of 105466409 in words is "one hundred five million, four hundred sixty-six thousand, four hundred nine".