10205634 has 16 divisors (see below), whose sum is σ = 21070080. Its totient is φ = 3292080.

The previous prime is 10205621. The next prime is 10205659. The reversal of 10205634 is 43650201.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10205634.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 27249 + ... + 27620.

It is an arithmetic number, because the mean of its divisors is an integer number (1316880).

Almost surely, 2^10205634 is an apocalyptic number.

10205634 is an abundant number, since it is smaller than the sum of its proper divisors (10864446).

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

10205634 is a wasteful number, since it uses less digits than its factorization.

10205634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54905.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 10205634 is about 3194.6257996830. The cubic root of 10205634 is about 216.9102108228.

Adding to 10205634 its reverse (43650201), we get a palindrome (53855835).

The spelling of 10205634 in words is "ten million, two hundred five thousand, six hundred thirty-four".