114108800 has 144 divisors (see below), whose sum is σ = 306682380. Its totient is φ = 41932800.

The previous prime is 114108767. The next prime is 114108803. The reversal of 114108800 is 8801411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114108803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 540695 + ... + 540905.

Almost surely, 2^114108800 is an apocalyptic number.

114108800 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 114108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153341190).

114108800 is an abundant number, since it is smaller than the sum of its proper divisors (192573580).

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

114108800 is a wasteful number, since it uses less digits than its factorization.

114108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 23.

The square root of 114108800 is about 10682.1720637706. The cubic root of 114108800 is about 485.0349640008.

The spelling of 114108800 in words is "one hundred fourteen million, one hundred eight thousand, eight hundred".