110406112 has 96 divisors (see below), whose sum is σ = 242161920. Its totient is φ = 49351680.

The previous prime is 110406091. The next prime is 110406133. The reversal of 110406112 is 211604011.

It is an interprime number because it is at equal distance from previous prime (110406091) and next prime (110406133).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1071853 + ... + 1071955.

It is an arithmetic number, because the mean of its divisors is an integer number (2522520).

Almost surely, 2^110406112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110406112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121080960).

110406112 is an abundant number, since it is smaller than the sum of its proper divisors (131755808).

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

110406112 is a wasteful number, since it uses less digits than its factorization.

110406112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 110406112 is about 10507.4312750548. The cubic root of 110406112 is about 479.7309139945.

The spelling of 110406112 in words is "one hundred ten million, four hundred six thousand, one hundred twelve".