10805823 has 36 divisors (see below), whose sum is σ = 18406440. Its totient is φ = 6090336.

The previous prime is 10805819. The next prime is 10805831. The reversal of 10805823 is 32850801.

It is a happy number.

10805823 is a `hidden beast` number, since 1 + 0 + 80 + 582 + 3 = 666.

It is not a de Polignac number, because 10805823 - 2² = 10805819 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10805803) 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 35 ways as a sum of consecutive naturals, for example, 47073 + ... + 47301.

It is an arithmetic number, because the mean of its divisors is an integer number (511290).

Almost surely, 2^10805823 is an apocalyptic number.

10805823 is a deficient number, since it is larger than the sum of its proper divisors (7600617).

10805823 is a wasteful number, since it uses less digits than its factorization.

10805823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10805823 is about 3287.2211668824. The cubic root of 10805823 is about 221.0816089206.

It can be divided in two parts, 10805 and 823, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 10805823 in words is "ten million, eight hundred five thousand, eight hundred twenty-three".