114388900 has 36 divisors (see below), whose sum is σ = 250206208. Its totient is φ = 45390240.

The previous prime is 114388889. The next prime is 114388907. The reversal of 114388900 is 9883411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (114388907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8197 + ... + 17203.

Almost surely, 2^114388900 is an apocalyptic number.

114388900 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 114388900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125103104).

114388900 is an abundant number, since it is smaller than the sum of its proper divisors (135817308).

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

114388900 is a wasteful number, since it uses less digits than its factorization.

114388900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9148 (or 9141 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 114388900 is about 10695.2746575298. The cubic root of 114388900 is about 485.4315074228.

The spelling of 114388900 in words is "one hundred fourteen million, three hundred eighty-eight thousand, nine hundred".