105666116 has 12 divisors (see below), whose sum is σ = 185575740. Its totient is φ = 52644480.

The previous prime is 105666107. The next prime is 105666131. The reversal of 105666116 is 611666501.

It can be written as a sum of positive squares in 2 ways, for example, as 27520516 + 78145600 = 5246^2 + 8840^2 .

It is a super-2 number, since 2×105666116² = 22330656141050912, which contains 22 as substring.

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, 45881 + ... + 48128.

It is an arithmetic number, because the mean of its divisors is an integer number (15464645).

Almost surely, 2^105666116 is an apocalyptic number.

It is an amenable number.

105666116 is a deficient number, since it is larger than the sum of its proper divisors (79909624).

105666116 is a wasteful number, since it uses less digits than its factorization.

105666116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94294 (or 94292 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 105666116 is about 10279.4025118194. The cubic root of 105666116 is about 472.7649248251.

The spelling of 105666116 in words is "one hundred five million, six hundred sixty-six thousand, one hundred sixteen".