110085200 has 60 divisors (see below), whose sum is σ = 280054620. Its totient is φ = 41441280.

The previous prime is 110085193. The next prime is 110085229. The reversal of 110085200 is 2580011.

It can be written as a sum of positive squares in 6 ways, for example, as 3136 + 110082064 = 56^2 + 10492^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1295 + ... + 14894.

It is an arithmetic number, because the mean of its divisors is an integer number (4667577).

Almost surely, 2^110085200 is an apocalyptic number.

110085200 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 110085200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140027310).

110085200 is an abundant number, since it is smaller than the sum of its proper divisors (169969420).

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

110085200 is a wasteful number, since it uses less digits than its factorization.

110085200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16224 (or 16213 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 110085200 is about 10492.1494461335. The cubic root of 110085200 is about 479.2656595305.

The spelling of 110085200 in words is "one hundred ten million, eighty-five thousand, two hundred".