105666102 has 48 divisors (see below), whose sum is σ = 238138992. Its totient is φ = 33834240.

The previous prime is 105666083. The next prime is 105666103. The reversal of 105666102 is 201666501.

It is a happy number.

It is a super-2 number, since 2×105666102² = 22330650223748808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105666103) 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 23 ways as a sum of consecutive naturals, for example, 48378 + ... + 50514.

It is an arithmetic number, because the mean of its divisors is an integer number (4961229).

Almost surely, 2^105666102 is an apocalyptic number.

105666102 is an abundant number, since it is smaller than the sum of its proper divisors (132472890).

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

105666102 is a wasteful number, since it uses less digits than its factorization.

105666102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 105666102 is about 10279.4018308460. The cubic root of 105666102 is about 472.7649039458.

The spelling of 105666102 in words is "one hundred five million, six hundred sixty-six thousand, one hundred two".