105073585 has 8 divisors (see below), whose sum is σ = 126302400. Its totient is φ = 83916144.

The previous prime is 105073571. The next prime is 105073589. The reversal of 105073585 is 585370501.

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 105073585 - 2⁷ = 105073457 is a prime.

It is a super-2 number, since 2×105073585² = 22080916529504450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105073585.

It is not an unprimeable number, because it can be changed into a prime (105073589) 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 in 7 ways as a sum of consecutive naturals, for example, 14547 + ... + 20536.

It is an arithmetic number, because the mean of its divisors is an integer number (15787800).

Almost surely, 2^105073585 is an apocalyptic number.

It is an amenable number.

105073585 is a deficient number, since it is larger than the sum of its proper divisors (21228815).

105073585 is an equidigital number, since it uses as much as digits as its factorization.

105073585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35687.

The product of its (nonzero) digits is 21000, while the sum is 34.

The square root of 105073585 is about 10250.5407174451. The cubic root of 105073585 is about 471.8795791261.

The spelling of 105073585 in words is "one hundred five million, seventy-three thousand, five hundred eighty-five".