10829205 has 24 divisors (see below), whose sum is σ = 19588608. Its totient is φ = 5523936.

The previous prime is 10829201. The next prime is 10829213. The reversal of 10829205 is 50292801.

10829205 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10829205 - 2² = 10829201 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10829201) 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 23 ways as a sum of consecutive naturals, for example, 4197 + ... + 6266.

It is an arithmetic number, because the mean of its divisors is an integer number (816192).

Almost surely, 2^10829205 is an apocalyptic number.

10829205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10829205 is a deficient number, since it is larger than the sum of its proper divisors (8759403).

10829205 is a wasteful number, since it uses less digits than its factorization.

10829205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10497 (or 10494 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10829205 is about 3290.7757444104. The cubic root of 10829205 is about 221.2409552943.

The spelling of 10829205 in words is "ten million, eight hundred twenty-nine thousand, two hundred five".