105600066 has 32 divisors (see below), whose sum is σ = 248125248. Its totient is φ = 29538240.

The previous prime is 105600041. The next prime is 105600067. The reversal of 105600066 is 660006501.

It is a super-2 number, since 2×105600066² = 22302747878408712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105600067) 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 15 ways as a sum of consecutive naturals, for example, 60681 + ... + 62396.

It is an arithmetic number, because the mean of its divisors is an integer number (7753914).

Almost surely, 2^105600066 is an apocalyptic number.

105600066 is an abundant number, since it is smaller than the sum of its proper divisors (142525182).

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

105600066 is a wasteful number, since it uses less digits than its factorization.

105600066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123106.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 105600066 is about 10276.1892742397. The cubic root of 105600066 is about 472.6663986591. Note that the first 3 decimals are identical.

Adding to 105600066 its reverse (660006501), we get a palindrome (765606567).

The spelling of 105600066 in words is "one hundred five million, six hundred thousand, sixty-six".