10505165 has 16 divisors (see below), whose sum is σ = 13815360. Its totient is φ = 7605120.

The previous prime is 10505141. The next prime is 10505179. The reversal of 10505165 is 56150501.

10505165 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 10505165 - 2⁶ = 10505101 is a prime.

It is a super-2 number, since 2×10505165² = 220716983354450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10505165.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 22262 + ... + 22728.

It is an arithmetic number, because the mean of its divisors is an integer number (863460).

Almost surely, 2^10505165 is an apocalyptic number.

It is an amenable number.

10505165 is a deficient number, since it is larger than the sum of its proper divisors (3310195).

10505165 is a wasteful number, since it uses less digits than its factorization.

10505165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892.

The product of its (nonzero) digits is 750, while the sum is 23.

The square root of 10505165 is about 3241.1672280214. The cubic root of 10505165 is about 219.0118562140.

Adding to 10505165 its reverse (56150501), we get a palindrome (66655666).

The spelling of 10505165 in words is "ten million, five hundred five thousand, one hundred sixty-five".