114810800 has 60 divisors (see below), whose sum is σ = 297064320. Its totient is φ = 42389760.

The previous prime is 114810767. The next prime is 114810827. The reversal of 114810800 is 8018411.

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, 5840 + ... + 16239.

It is an arithmetic number, because the mean of its divisors is an integer number (4951072).

Almost surely, 2^114810800 is an apocalyptic number.

114810800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114810800 is an abundant number, since it is smaller than the sum of its proper divisors (182253520).

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

114810800 is a wasteful number, since it uses less digits than its factorization.

114810800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22110 (or 22099 counting only the distinct ones).

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

The square root of 114810800 is about 10714.9801679704. The cubic root of 114810800 is about 486.0275800478.

The spelling of 114810800 in words is "one hundred fourteen million, eight hundred ten thousand, eight hundred".