110394144 has 96 divisors (see below), whose sum is σ = 368000640. Its totient is φ = 31539456.

The previous prime is 110394139. The next prime is 110394157. The reversal of 110394144 is 441493011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3079 + ... + 15174.

It is an arithmetic number, because the mean of its divisors is an integer number (3833340).

Almost surely, 2^110394144 is an apocalyptic number.

110394144 is a gapful number since it is divisible by the number (14) 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 110394144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184000320).

110394144 is an abundant number, since it is smaller than the sum of its proper divisors (257606496).

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

110394144 is a wasteful number, since it uses less digits than its factorization.

110394144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18279 (or 18265 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 110394144 is about 10506.8617579180. The cubic root of 110394144 is about 479.7135791237.

The spelling of 110394144 in words is "one hundred ten million, three hundred ninety-four thousand, one hundred forty-four".