105166116 has 36 divisors (see below), whose sum is σ = 290004624. Its totient is φ = 31868400.

The previous prime is 105166031. The next prime is 105166129. The reversal of 105166116 is 611661501.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105166116² = 22119823909050912, 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 105166116.

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 11 ways as a sum of consecutive naturals, for example, 132390 + ... + 133181.

It is an arithmetic number, because the mean of its divisors is an integer number (8055684).

Almost surely, 2^105166116 is an apocalyptic number.

It is an amenable number.

105166116 is an abundant number, since it is smaller than the sum of its proper divisors (184838508).

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

105166116 is a wasteful number, since it uses less digits than its factorization.

105166116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265592 (or 265587 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 105166116 is about 10255.0531934262. The cubic root of 105166116 is about 472.0180556628.

The spelling of 105166116 in words is "one hundred five million, one hundred sixty-six thousand, one hundred sixteen".