110810106 has 60 divisors (see below), whose sum is σ = 272969466. Its totient is φ = 33572880.

The previous prime is 110810101. The next prime is 110810107. The reversal of 110810106 is 601018011.

It can be written as a sum of positive squares in only one way, i.e., 81162081 + 29648025 = 9009^2 + 5445^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (110810101) 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 29 ways as a sum of consecutive naturals, for example, 16776 + ... + 22428.

Almost surely, 2^110810106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110810106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136484733).

110810106 is an abundant number, since it is smaller than the sum of its proper divisors (162159360).

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

110810106 is a wasteful number, since it uses less digits than its factorization.

110810106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5689 (or 5669 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 110810106 is about 10526.6379248077. The cubic root of 110810106 is about 480.3153396648.

Adding to 110810106 its reverse (601018011), we get a palindrome (711828117).

The spelling of 110810106 in words is "one hundred ten million, eight hundred ten thousand, one hundred six".