10205232 has 40 divisors (see below), whose sum is σ = 26623296. Its totient is φ = 3368256.

The previous prime is 10205227. The next prime is 10205243. The reversal of 10205232 is 23250201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4143 + ... + 6129.

Almost surely, 2^10205232 is an apocalyptic number.

10205232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10205232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13311648).

10205232 is an abundant number, since it is smaller than the sum of its proper divisors (16418064).

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

10205232 is a wasteful number, since it uses less digits than its factorization.

10205232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 10205232 is about 3194.5628808962. The cubic root of 10205232 is about 216.9073627538.

Adding to 10205232 its reverse (23250201), we get a palindrome (33455433).

The spelling of 10205232 in words is "ten million, two hundred five thousand, two hundred thirty-two".