10211305 has 16 divisors (see below), whose sum is σ = 13973904. Its totient is φ = 7096320.

The previous prime is 10211293. The next prime is 10211309. The reversal of 10211305 is 50311201.

It can be written as a sum of positive squares in 8 ways, for example, as 495616 + 9715689 = 704^2 + 3117^2 .

It is not a de Polignac number, because 10211305 - 2⁵ = 10211273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10211309) 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, 3516 + ... + 5725.

It is an arithmetic number, because the mean of its divisors is an integer number (873369).

Almost surely, 2^10211305 is an apocalyptic number.

It is an amenable number.

10211305 is a deficient number, since it is larger than the sum of its proper divisors (3762599).

10211305 is a wasteful number, since it uses less digits than its factorization.

10211305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9276.

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 10211305 is about 3195.5132608080. The cubic root of 10211305 is about 216.9503804660.

Adding to 10211305 its reverse (50311201), we get a palindrome (60522506).

The spelling of 10211305 in words is "ten million, two hundred eleven thousand, three hundred five".