105517409 has 2 divisors, whose sum is σ = 105517410. Its totient is φ = 105517408.

The previous prime is 105517403. The next prime is 105517411. The reversal of 105517409 is 904715501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52998400 + 52519009 = 7280^2 + 7247^2 .

It is a cyclic number.

It is not a de Polignac number, because 105517409 - 2¹⁶ = 105451873 is a prime.

It is a super-2 number, since 2×105517409² = 22267847204146562, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 105517411, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (105517403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52758704 + 52758705.

It is an arithmetic number, because the mean of its divisors is an integer number (52758705).

Almost surely, 2^105517409 is an apocalyptic number.

It is an amenable number.

105517409 is a deficient number, since it is larger than the sum of its proper divisors (1).

105517409 is an equidigital number, since it uses as much as digits as its factorization.

105517409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6300, while the sum is 32.

The square root of 105517409 is about 10272.1667139898. The cubic root of 105517409 is about 472.5430420930.

The spelling of 105517409 in words is "one hundred five million, five hundred seventeen thousand, four hundred nine".