105166104 has 16 divisors (see below), whose sum is σ = 262915320. Its totient is φ = 35055360.

The previous prime is 105166031. The next prime is 105166129. The reversal of 105166104 is 401661501.

It is a super-2 number, since 2×105166104² = 22119818861077632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 4381921 = 105166104 / (1 + 0 + 5 + 1 + 6 + 6 + 1 + 0 + 4).

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 3 ways as a sum of consecutive naturals, for example, 2190937 + ... + 2190984.

Almost surely, 2^105166104 is an apocalyptic number.

It is an amenable number.

105166104 is an abundant number, since it is smaller than the sum of its proper divisors (157749216).

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

105166104 is a wasteful number, since it uses less digits than its factorization.

105166104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4381930 (or 4381926 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 105166104 is about 10255.0526083487. The cubic root of 105166104 is about 472.0180377096.

The spelling of 105166104 in words is "one hundred five million, one hundred sixty-six thousand, one hundred four".