10205168 has 30 divisors (see below), whose sum is σ = 21013536. Its totient is φ = 4800256.

The previous prime is 10205161. The next prime is 10205177. The reversal of 10205168 is 86150201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205161) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3521 + ... + 5727.

Almost surely, 2^10205168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10205168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10506768).

10205168 is an abundant number, since it is smaller than the sum of its proper divisors (10808368).

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

10205168 is a wasteful number, since it uses less digits than its factorization.

10205168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 10205168 is about 3194.5528638606. The cubic root of 10205168 is about 216.9069093229.

Adding to 10205168 its reverse (86150201), we get a palindrome (96355369).

The spelling of 10205168 in words is "ten million, two hundred five thousand, one hundred sixty-eight".