114041600 has 108 divisors (see below), whose sum is σ = 286658736. Its totient is φ = 44912640.

The previous prime is 114041581. The next prime is 114041651. The reversal of 114041600 is 6140411.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 659114 + ... + 659286.

Almost surely, 2^114041600 is an apocalyptic number.

114041600 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 114041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143329368).

114041600 is an abundant number, since it is smaller than the sum of its proper divisors (172617136).

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

114041600 is a wasteful number, since it uses less digits than its factorization.

114041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 114041600 is about 10679.0261728306. The cubic root of 114041600 is about 484.9397310591.

The spelling of 114041600 in words is "one hundred fourteen million, forty-one thousand, six hundred".