105333166 has 16 divisors (see below), whose sum is σ = 159750000. Its totient is φ = 52086528.

The previous prime is 105333161. The next prime is 105333167. The reversal of 105333166 is 661333501.

It is a super-2 number, since 2×105333166² = 22190151719167112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105333161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83710 + ... + 84958.

It is an arithmetic number, because the mean of its divisors is an integer number (9984375).

Almost surely, 2^105333166 is an apocalyptic number.

105333166 is a deficient number, since it is larger than the sum of its proper divisors (54416834).

105333166 is a wasteful number, since it uses less digits than its factorization.

105333166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683.

The product of its (nonzero) digits is 4860, while the sum is 28.

The square root of 105333166 is about 10263.1947267895. The cubic root of 105333166 is about 472.2678474722.

Adding to 105333166 its reverse (661333501), we get a palindrome (766666667).

It can be divided in two parts, 105 and 333166, that multiplied together give a triangular number (34982430 = T₈₃₆₄).

The spelling of 105333166 in words is "one hundred five million, three hundred thirty-three thousand, one hundred sixty-six".