111106106110000 has 100 divisors (see below), whose sum is σ = 269032395313264. Its totient is φ = 44436924000000.

The previous prime is 111106106109967. The next prime is 111106106110003. The reversal of 111106106110000 is 11601601111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 111106106110000.

It is not an unprimeable number, because it can be changed into a prime (111106106110003) 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 19 ways as a sum of consecutive naturals, for example, 80324245 + ... + 81695755.

Almost surely, 2^{111106106110000} is an apocalyptic number.

111106106110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111106106110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134516197656632).

111106106110000 is an abundant number, since it is smaller than the sum of its proper divisors (157926289203264).

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

111106106110000 is an equidigital number, since it uses as much as digits as its factorization.

111106106110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379640 (or 1379619 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 19.

Adding to 111106106110000 its reverse (11601601111), we get a palindrome (111117707711111).

The spelling of 111106106110000 in words is "one hundred eleven trillion, one hundred six billion, one hundred six million, one hundred ten thousand".