10082205 has 64 divisors (see below), whose sum is σ = 21012480. Its totient is φ = 4491072.

The previous prime is 10082203. The next prime is 10082221. The reversal of 10082205 is 50228001.

It is not a de Polignac number, because 10082205 - 2¹ = 10082203 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10082203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44302 + ... + 44528.

It is an arithmetic number, because the mean of its divisors is an integer number (328320).

Almost surely, 2^10082205 is an apocalyptic number.

10082205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10082205 is an abundant number, since it is smaller than the sum of its proper divisors (10930275).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10082205 is a wasteful number, since it uses less digits than its factorization.

10082205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10082205 is about 3175.2488091487. The cubic root of 10082205 is about 216.0322097029.

The spelling of 10082205 in words is "ten million, eighty-two thousand, two hundred five".