10505166 has 16 divisors (see below), whose sum is σ = 24011904. Its totient is φ = 3001464.

The previous prime is 10505141. The next prime is 10505179. The reversal of 10505166 is 66150501.

It is a super-2 number, since 2×10505166² = 220717025375112, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 125020 + ... + 125103.

It is an arithmetic number, because the mean of its divisors is an integer number (1500744).

Almost surely, 2^10505166 is an apocalyptic number.

10505166 is an abundant number, since it is smaller than the sum of its proper divisors (13506738).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10505166 is a wasteful number, since it uses less digits than its factorization.

10505166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250135.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 10505166 is about 3241.1673822868. The cubic root of 10505166 is about 219.0118631634.

Adding to 10505166 its reverse (66150501), we get a palindrome (76655667).

It can be divided in two parts, 1050 and 5166, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 10505166 in words is "ten million, five hundred five thousand, one hundred sixty-six".