114006112 has 48 divisors (see below), whose sum is σ = 246480192. Its totient is φ = 51477120.

The previous prime is 114006103. The next prime is 114006119. The reversal of 114006112 is 211600411.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114006119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56383 + ... + 58369.

It is an arithmetic number, because the mean of its divisors is an integer number (5135004).

Almost surely, 2^114006112 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 114006112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123240096).

114006112 is an abundant number, since it is smaller than the sum of its proper divisors (132474080).

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

114006112 is a wasteful number, since it uses less digits than its factorization.

114006112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2163 counting only the distinct ones).

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

The square root of 114006112 is about 10677.3644688191. The cubic root of 114006112 is about 484.8894239005.

Adding to 114006112 its reverse (211600411), we get a palindrome (325606523).

The spelling of 114006112 in words is "one hundred fourteen million, six thousand, one hundred twelve".