10205745 has 24 divisors (see below), whose sum is σ = 17951808. Its totient is φ = 4947360.

The previous prime is 10205731. The next prime is 10205791. The reversal of 10205745 is 54750201.

It is not a de Polignac number, because 10205745 - 2¹⁰ = 10204721 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 997 + ... + 4626.

It is an arithmetic number, because the mean of its divisors is an integer number (747992).

Almost surely, 2^10205745 is an apocalyptic number.

10205745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10205745 is a deficient number, since it is larger than the sum of its proper divisors (7746063).

10205745 is a wasteful number, since it uses less digits than its factorization.

10205745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5653 (or 5642 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 10205745 is about 3194.6431725625. The cubic root of 10205745 is about 216.9109972167.

Adding to 10205745 its reverse (54750201), we get a palindrome (64955946).

The spelling of 10205745 in words is "ten million, two hundred five thousand, seven hundred forty-five".