105687409 has 2 divisors, whose sum is σ = 105687410. Its totient is φ = 105687408.

The previous prime is 105687391. The next prime is 105687427. The reversal of 105687409 is 904786501.

It is a balanced prime because it is at equal distance from previous prime (105687391) and next prime (105687427).

It can be written as a sum of positive squares in only one way, i.e., 72590400 + 33097009 = 8520^2 + 5753^2 .

It is a cyclic number.

It is not a de Polignac number, because 105687409 - 2⁵ = 105687377 is a prime.

It is a super-2 number, since 2×105687409² = 22339656842266562, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105687499) 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, 52843704 + 52843705.

It is an arithmetic number, because the mean of its divisors is an integer number (52843705).

Almost surely, 2^105687409 is an apocalyptic number.

It is an amenable number.

105687409 is a deficient number, since it is larger than the sum of its proper divisors (1).

105687409 is an equidigital number, since it uses as much as digits as its factorization.

105687409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 105687409 is about 10280.4381715956. The cubic root of 105687409 is about 472.7966786418.

The spelling of 105687409 in words is "one hundred five million, six hundred eighty-seven thousand, four hundred nine".