10833089805 has 24 divisors (see below), whose sum is σ = 18949633560. Its totient is φ = 5724639360.

The previous prime is 10833089789. The next prime is 10833089833. The reversal of 10833089805 is 50898033801.

10833089805 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1339120836 + 9493968969 = 36594^2 + 97437^2 .

It is not a de Polignac number, because 10833089805 - 2⁴ = 10833089789 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1099386 + ... + 1109195.

It is an arithmetic number, because the mean of its divisors is an integer number (789568065).

Almost surely, 2^10833089805 is an apocalyptic number.

10833089805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10833089805 is a deficient number, since it is larger than the sum of its proper divisors (8116543755).

10833089805 is a wasteful number, since it uses less digits than its factorization.

10833089805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208701 (or 2208698 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

It can be divided in two parts, 108330 and 89805, that added together give a triangular number (198135 = T₆₂₉).

The spelling of 10833089805 in words is "ten billion, eight hundred thirty-three million, eighty-nine thousand, eight hundred five".