110114368 has 168 divisors, whose sum is σ = 284984952. Its totient is φ = 41803776.

The previous prime is 110114353. The next prime is 110114369. The reversal of 110114368 is 863411011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 21603904 + 88510464 = 4648^2 + 9408^2 .

It is not an unprimeable number, because it can be changed into a prime (110114369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1508380 + ... + 1508452.

It is an arithmetic number, because the mean of its divisors is an integer number (1696339).

Almost surely, 2^110114368 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 110114368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142492476).

110114368 is an abundant number, since it is smaller than the sum of its proper divisors (174870584).

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

110114368 is a wasteful number, since it uses less digits than its factorization.

110114368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 110114368 is about 10493.5393457117. The cubic root of 110114368 is about 479.3079842823.

Adding to 110114368 its reverse (863411011), we get a palindrome (973525379).

The spelling of 110114368 in words is "one hundred ten million, one hundred fourteen thousand, three hundred sixty-eight".