10205882 has 32 divisors (see below), whose sum is σ = 17501184. Its totient is φ = 4435200.

The previous prime is 10205873. The next prime is 10205927. The reversal of 10205882 is 28850201.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24032 + ... + 24452.

It is an arithmetic number, because the mean of its divisors is an integer number (546912).

Almost surely, 2^10205882 is an apocalyptic number.

10205882 is a deficient number, since it is larger than the sum of its proper divisors (7295302).

10205882 is a wasteful number, since it uses less digits than its factorization.

10205882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494.

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 10205882 is about 3194.6646146348. The cubic root of 10205882 is about 216.9119678032.

The spelling of 10205882 in words is "ten million, two hundred five thousand, eight hundred eighty-two".