10205730 has 32 divisors (see below), whose sum is σ = 27216000. Its totient is φ = 2721456.

The previous prime is 10205711. The next prime is 10205731. The reversal of 10205730 is 3750201.

10205730 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10205731) 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, 18630 + ... + 19169.

It is an arithmetic number, because the mean of its divisors is an integer number (850500).

Almost surely, 2^10205730 is an apocalyptic number.

10205730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10205730 is an abundant number, since it is smaller than the sum of its proper divisors (17010270).

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

10205730 is a wasteful number, since it uses less digits than its factorization.

10205730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37815 (or 37809 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 10205730 is about 3194.6408248816. The cubic root of 10205730 is about 216.9108909476.

Adding to 10205730 its reverse (3750201), we get a palindrome (13955931).

The spelling of 10205730 in words is "ten million, two hundred five thousand, seven hundred thirty".