110114400 has 288 divisors, whose sum is σ = 404224128. Its totient is φ = 25804800.

The previous prime is 110114383. The next prime is 110114401. The reversal of 110114400 is 4411011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110114401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1135152 + ... + 1135248.

It is an arithmetic number, because the mean of its divisors is an integer number (1403556).

Almost surely, 2^110114400 is an apocalyptic number.

110114400 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 110114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202112064).

110114400 is an abundant number, since it is smaller than the sum of its proper divisors (294109728).

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

110114400 is a wasteful number, since it uses less digits than its factorization.

110114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 110114400 is about 10493.5408704593. The cubic root of 110114400 is about 479.3080307124.

Adding to 110114400 its reverse (4411011), we get a palindrome (114525411).

The spelling of 110114400 in words is "one hundred ten million, one hundred fourteen thousand, four hundred".