105166216 has 32 divisors (see below), whose sum is σ = 219780000. Its totient is φ = 46884096.

The previous prime is 105166207. The next prime is 105166219. The reversal of 105166216 is 612661501.

It is a super-2 number, since 2×105166216² = 22119865975517312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105166219) by changing a digit.

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, 17766 + ... + 22933.

It is an arithmetic number, because the mean of its divisors is an integer number (6868125).

Almost surely, 2^105166216 is an apocalyptic number.

It is an amenable number.

105166216 is an abundant number, since it is smaller than the sum of its proper divisors (114613784).

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

105166216 is a wasteful number, since it uses less digits than its factorization.

105166216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40741 (or 40737 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 105166216 is about 10255.0580690701. The cubic root of 105166216 is about 472.0182052731.

The spelling of 105166216 in words is "one hundred five million, one hundred sixty-six thousand, two hundred sixteen".