10205660 has 48 divisors (see below), whose sum is σ = 22861440. Its totient is φ = 3816000.

The previous prime is 10205659. The next prime is 10205669. The reversal of 10205660 is 6650201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40535 + ... + 40785.

It is an arithmetic number, because the mean of its divisors is an integer number (476280).

Almost surely, 2^10205660 is an apocalyptic number.

10205660 is a gapful number since it is divisible by the number (10) 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 10205660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11430720).

10205660 is an abundant number, since it is smaller than the sum of its proper divisors (12655780).

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

10205660 is a wasteful number, since it uses less digits than its factorization.

10205660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 10205660 is about 3194.6298690146. The cubic root of 10205660 is about 216.9103950237.

Adding to 10205660 its reverse (6650201), we get a palindrome (16855861).

The spelling of 10205660 in words is "ten million, two hundred five thousand, six hundred sixty".