114009700 has 72 divisors (see below), whose sum is σ = 284259584. Its totient is φ = 38880000.

The previous prime is 114009683. The next prime is 114009703. The reversal of 114009700 is 7900411.

It is not an unprimeable number, because it can be changed into a prime (114009703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189400 + ... + 190000.

Almost surely, 2^114009700 is an apocalyptic number.

114009700 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 114009700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142129792).

114009700 is an abundant number, since it is smaller than the sum of its proper divisors (170249884).

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

114009700 is a wasteful number, since it uses less digits than its factorization.

114009700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 114009700 is about 10677.5324864877. The cubic root of 114009700 is about 484.8945106599.

The spelling of 114009700 in words is "one hundred fourteen million, nine thousand, seven hundred".