10500305 has 32 divisors (see below), whose sum is σ = 14370048. Its totient is φ = 7321600.

The previous prime is 10500283. The next prime is 10500311. The reversal of 10500305 is 50300501.

10500305 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 10500305 - 2¹⁶ = 10434769 is a prime.

It is a super-2 number, since 2×10500305² = 220512810186050, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10500305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80090 + ... + 80220.

It is an arithmetic number, because the mean of its divisors is an integer number (449064).

Almost surely, 2^10500305 is an apocalyptic number.

It is an amenable number.

10500305 is a deficient number, since it is larger than the sum of its proper divisors (3869743).

10500305 is a wasteful number, since it uses less digits than its factorization.

10500305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217.

The product of its (nonzero) digits is 75, while the sum is 14.

The square root of 10500305 is about 3240.4174113839. The cubic root of 10500305 is about 218.9780772173.

Adding to 10500305 its reverse (50300501), we get a palindrome (60800806).

The spelling of 10500305 in words is "ten million, five hundred thousand, three hundred five".