114104144 has 120 divisors (see below), whose sum is σ = 285490656. Its totient is φ = 43680000.

The previous prime is 114104131. The next prime is 114104191. The reversal of 114104144 is 441401411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 870959 + ... + 871089.

Almost surely, 2^114104144 is an apocalyptic number.

114104144 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 114104144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142745328).

114104144 is an abundant number, since it is smaller than the sum of its proper divisors (171386512).

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

114104144 is a wasteful number, since it uses less digits than its factorization.

114104144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 114104144 is about 10681.9541283419. The cubic root of 114104144 is about 485.0283669241.

Adding to 114104144 its reverse (441401411), we get a palindrome (555505555).

The spelling of 114104144 in words is "one hundred fourteen million, one hundred four thousand, one hundred forty-four".