10305666 has 48 divisors (see below), whose sum is σ = 25833600. Its totient is φ = 2908224.

The previous prime is 10305653. The next prime is 10305667. The reversal of 10305666 is 66650301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10305667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10755 + ... + 11673.

It is an arithmetic number, because the mean of its divisors is an integer number (538200).

Almost surely, 2^10305666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10305666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12916800).

10305666 is an abundant number, since it is smaller than the sum of its proper divisors (15527934).

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

10305666 is a wasteful number, since it uses less digits than its factorization.

10305666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 10305666 is about 3210.2439159665. The cubic root of 10305666 is about 217.6166001834.

Adding to 10305666 its reverse (66650301), we get a palindrome (76955967).

The spelling of 10305666 in words is "ten million, three hundred five thousand, six hundred sixty-six".