110011001000110 has 96 divisors (see below), whose sum is σ = 234474231237120. Its totient is φ = 37043876778048.

The previous prime is 110011001000041. The next prime is 110011001000111. The reversal of 110011001000110 is 11000100110011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 110011001000093 and 110011001000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110011001000111) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 28941447 + ... + 32521213.

It is an arithmetic number, because the mean of its divisors is an integer number (2442439908720).

Almost surely, 2^{110011001000110} is an apocalyptic number.

110011001000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110011001000110 is an abundant number, since it is smaller than the sum of its proper divisors (124463230237010).

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

110011001000110 is a wasteful number, since it uses less digits than its factorization.

110011001000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580910 (or 3580903 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 110011001000110 its reverse (11000100110011), we get a palindrome (121011101110121).

The spelling of 110011001000110 in words is "one hundred ten trillion, eleven billion, one million, one hundred ten", and thus it is an aban number.