105166689 has 8 divisors (see below), whose sum is σ = 140308032. Its totient is φ = 70068240.

The previous prime is 105166657. The next prime is 105166739. The reversal of 105166689 is 986661501.

It is a happy number.

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

It is not a de Polignac number, because 105166689 - 2⁵ = 105166657 is a prime.

It is a super-2 number, since 2×105166689² = 22120064950445442, 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 105166689.

It is not an unprimeable number, because it can be changed into a prime (105166609) 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, 4482 + ... + 15179.

It is an arithmetic number, because the mean of its divisors is an integer number (17538504).

Almost surely, 2^105166689 is an apocalyptic number.

It is an amenable number.

105166689 is a deficient number, since it is larger than the sum of its proper divisors (35141343).

105166689 is a wasteful number, since it uses less digits than its factorization.

105166689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21447.

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 105166689 is about 10255.0811308346. The cubic root of 105166689 is about 472.0189129284.

It can be divided in two parts, 10516 and 6689, that added together give a triangular number (17205 = T₁₈₅).

The spelling of 105166689 in words is "one hundred five million, one hundred sixty-six thousand, six hundred eighty-nine".