105785609 has 4 divisors (see below), whose sum is σ = 109198080. Its totient is φ = 102373140.

The previous prime is 105785593. The next prime is 105785621. The reversal of 105785609 is 906587501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 906587501 = 20789 ⋅43609.

It is a cyclic number.

It is not a de Polignac number, because 105785609 - 2⁴ = 105785593 is a prime.

It is a super-3 number, since 3×105785609³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105785629) 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 in 3 ways as a sum of consecutive naturals, for example, 1706189 + ... + 1706250.

It is an arithmetic number, because the mean of its divisors is an integer number (27299520).

Almost surely, 2^105785609 is an apocalyptic number.

It is an amenable number.

105785609 is a deficient number, since it is larger than the sum of its proper divisors (3412471).

105785609 is an equidigital number, since it uses as much as digits as its factorization.

105785609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412470.

The product of its (nonzero) digits is 75600, while the sum is 41.

The square root of 105785609 is about 10285.2131237034. The cubic root of 105785609 is about 472.9430671344.

The spelling of 105785609 in words is "one hundred five million, seven hundred eighty-five thousand, six hundred nine".