110105106066 has 24 divisors (see below), whose sum is σ = 244108996560. Its totient is φ = 35848173816.

The previous prime is 110105106061. The next prime is 110105106169. The reversal of 110105106066 is 660601501011.

110105106066 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 0 + 51 + 0 + 606 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (110105106061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71126556 + ... + 71128103.

It is an arithmetic number, because the mean of its divisors is an integer number (10171208190).

Almost surely, 2^110105106066 is an apocalyptic number.

110105106066 is an abundant number, since it is smaller than the sum of its proper divisors (134003890494).

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

110105106066 is a wasteful number, since it uses less digits than its factorization.

110105106066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142254710 (or 142254707 counting only the distinct ones).

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

Adding to 110105106066 its reverse (660601501011), we get a palindrome (770706607077).

The spelling of 110105106066 in words is "one hundred ten billion, one hundred five million, one hundred six thousand, sixty-six".