105581609 has 8 divisors (see below), whose sum is σ = 123926208. Its totient is φ = 88052400.

The previous prime is 105581603. The next prime is 105581627. The reversal of 105581609 is 906185501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105581609 - 2²⁴ = 88804393 is a prime.

It is a super-2 number, since 2×105581609² = 22294952318057762, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105581603) 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 7 ways as a sum of consecutive naturals, for example, 203567 + ... + 204084.

It is an arithmetic number, because the mean of its divisors is an integer number (15490776).

Almost surely, 2^105581609 is an apocalyptic number.

It is an amenable number.

105581609 is a deficient number, since it is larger than the sum of its proper divisors (18344599).

105581609 is an equidigital number, since it uses as much as digits as its factorization.

105581609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407695.

The product of its (nonzero) digits is 10800, while the sum is 35.

The square root of 105581609 is about 10275.2911880881. The cubic root of 105581609 is about 472.6388591813.

It can be divided in two parts, 10558 and 1609, that added together give a cube (12167 = 23³).

The spelling of 105581609 in words is "one hundred five million, five hundred eighty-one thousand, six hundred nine".