110100110106 has 32 divisors (see below), whose sum is σ = 253063319040. Its totient is φ = 31281433776.

The previous prime is 110100110101. The next prime is 110100110119. The reversal of 110100110106 is 601011001011.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 110100110091 and 110100110100.

It is not an unprimeable number, because it can be changed into a prime (110100110101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7314916 + ... + 7329951.

It is an arithmetic number, because the mean of its divisors is an integer number (7908228720).

Almost surely, 2^110100110106 is an apocalyptic number.

110100110106 is an abundant number, since it is smaller than the sum of its proper divisors (142963208934).

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

110100110106 is a wasteful number, since it uses less digits than its factorization.

110100110106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14645058.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 110100110106 its reverse (601011001011), we get a palindrome (711111111117).

The spelling of 110100110106 in words is "one hundred ten billion, one hundred million, one hundred ten thousand, one hundred six".