10827083205 has 12 divisors (see below), whose sum is σ = 18766944300. Its totient is φ = 5774444352.

The previous prime is 10827083203. The next prime is 10827083237. The reversal of 10827083205 is 50238072801.

10827083205 is a `hidden beast` number, since 108 + 270 + 83 + 205 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4835394369 + 5991688836 = 69537^2 + 77406^2 .

It is not a de Polignac number, because 10827083205 - 2¹ = 10827083203 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10827083205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10827083203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120300880 + ... + 120300969.

It is an arithmetic number, because the mean of its divisors is an integer number (1563912025).

Almost surely, 2^10827083205 is an apocalyptic number.

10827083205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10827083205 is a deficient number, since it is larger than the sum of its proper divisors (7939861095).

10827083205 is a wasteful number, since it uses less digits than its factorization.

10827083205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240601860 (or 240601857 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10827083205 in words is "ten billion, eight hundred twenty-seven million, eighty-three thousand, two hundred five".