110011100110110 has 48 divisors (see below), whose sum is σ = 286050850328880. Its totient is φ = 29334037973760.

The previous prime is 110011100110073. The next prime is 110011100110189. The reversal of 110011100110110 is 11011001110011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110011100110092 and 110011100110101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45809956 + ... + 48151575.

It is an arithmetic number, because the mean of its divisors is an integer number (5959392715185).

Almost surely, 2^{110011100110110} is an apocalyptic number.

110011100110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110011100110110 is an abundant number, since it is smaller than the sum of its proper divisors (176039750218770).

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

110011100110110 is a wasteful number, since it uses less digits than its factorization.

110011100110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93974553 (or 93974550 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 110011100110110 its reverse (11011001110011), we get a palindrome (121022101220121).

Subtracting from 110011100110110 its reverse (11011001110011), we obtain a palindrome (99000099000099).

It can be divided in two parts, 110011 and 100110110, that added together give a square (100220121 = 10011²).

The spelling of 110011100110110 in words is "one hundred ten trillion, eleven billion, one hundred million, one hundred ten thousand, one hundred ten".