10505311 has 8 divisors (see below), whose sum is σ = 10947200. Its totient is φ = 10069920.

The previous prime is 10505291. The next prime is 10505317. The reversal of 10505311 is 11350501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10505311 - 2¹⁵ = 10472543 is a prime.

It is a super-2 number, since 2×10505311² = 220723118413442, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1825 + ... + 4933.

It is an arithmetic number, because the mean of its divisors is an integer number (1368400).

Almost surely, 2^10505311 is an apocalyptic number.

10505311 is a deficient number, since it is larger than the sum of its proper divisors (441889).

10505311 is a wasteful number, since it uses less digits than its factorization.

10505311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3249.

The product of its (nonzero) digits is 75, while the sum is 16.

The square root of 10505311 is about 3241.1897506934. The cubic root of 10505311 is about 219.0128708128.

Adding to 10505311 its reverse (11350501), we get a palindrome (21855812).

It can be divided in two parts, 10505 and 311, that added together give a square (10816 = 104²).

The spelling of 10505311 in words is "ten million, five hundred five thousand, three hundred eleven".