110102112 has 144 divisors (see below), whose sum is σ = 339882480. Its totient is φ = 34670592.

The previous prime is 110102089. The next prime is 110102143. The reversal of 110102112 is 211201011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 110102094 and 110102103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311728 + ... + 312080.

It is an arithmetic number, because the mean of its divisors is an integer number (2360295).

Almost surely, 2^110102112 is an apocalyptic number.

110102112 is a gapful number since it is divisible by the number (12) 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 110102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169941240).

110102112 is an abundant number, since it is smaller than the sum of its proper divisors (229780368).

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

110102112 is a wasteful number, since it uses less digits than its factorization.

110102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 110102112 is about 10492.9553510915. The cubic root of 110102112 is about 479.2902009033.

Adding to 110102112 its reverse (211201011), we get a palindrome (321303123).

The spelling of 110102112 in words is "one hundred ten million, one hundred two thousand, one hundred twelve".