10805985 has 24 divisors (see below), whose sum is σ = 18807360. Its totient is φ = 5739552.

The previous prime is 10805983. The next prime is 10806017. The reversal of 10805985 is 58950801.

It is not a de Polignac number, because 10805985 - 2¹ = 10805983 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10805981) 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 23 ways as a sum of consecutive naturals, for example, 19482 + ... + 20028.

It is an arithmetic number, because the mean of its divisors is an integer number (783640).

Almost surely, 2^10805985 is an apocalyptic number.

10805985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10805985 is a deficient number, since it is larger than the sum of its proper divisors (8001375).

10805985 is a wasteful number, since it uses less digits than its factorization.

10805985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 10805985 is about 3287.2458076633. The cubic root of 10805985 is about 221.0827137274.

The spelling of 10805985 in words is "ten million, eight hundred five thousand, nine hundred eighty-five".