10505307 has 16 divisors (see below), whose sum is σ = 14450688. Its totient is φ = 6784320.

The previous prime is 10505291. The next prime is 10505317. The reversal of 10505307 is 70350501.

It is a happy number.

10505307 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10505307 - 2⁴ = 10505291 is a prime.

It is a super-2 number, since 2×10505307² = 220722950328498, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10505317) 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, 27238 + ... + 27620.

It is an arithmetic number, because the mean of its divisors is an integer number (903168).

Almost surely, 2^10505307 is an apocalyptic number.

10505307 is a deficient number, since it is larger than the sum of its proper divisors (3945381).

10505307 is a wasteful number, since it uses less digits than its factorization.

10505307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650.

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 10505307 is about 3241.1891336360. The cubic root of 10505307 is about 219.0128430157.

Adding to 10505307 its reverse (70350501), we get a palindrome (80855808).

The spelling of 10505307 in words is "ten million, five hundred five thousand, three hundred seven".