10213305 has 16 divisors (see below), whose sum is σ = 16740864. Its totient is φ = 5313920.

The previous prime is 10213289. The next prime is 10213309. The reversal of 10213305 is 50331201.

It is a happy number.

It is not a de Polignac number, because 10213305 - 2⁴ = 10213289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10213309) 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, 7689 + ... + 8918.

It is an arithmetic number, because the mean of its divisors is an integer number (1046304).

Almost surely, 2^10213305 is an apocalyptic number.

10213305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10213305 is a deficient number, since it is larger than the sum of its proper divisors (6527559).

10213305 is a wasteful number, since it uses less digits than its factorization.

10213305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16656.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 10213305 is about 3195.8261842597. The cubic root of 10213305 is about 216.9645436063.

Adding to 10213305 its reverse (50331201), we get a palindrome (60544506).

The spelling of 10213305 in words is "ten million, two hundred thirteen thousand, three hundred five".