114101200 has 60 divisors (see below), whose sum is σ = 276748780. Its totient is φ = 45204480.

The previous prime is 114101191. The next prime is 114101219. The reversal of 114101200 is 2101411.

It can be written as a sum of positive squares in 6 ways, for example, as 8340544 + 105760656 = 2888^2 + 10284^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42292 + ... + 44908.

Almost surely, 2^114101200 is an apocalyptic number.

114101200 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 114101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138374390).

114101200 is an abundant number, since it is smaller than the sum of its proper divisors (162647580).

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

114101200 is a wasteful number, since it uses less digits than its factorization.

114101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2733 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 114101200 is about 10681.8163249515. The cubic root of 114101200 is about 485.0241954840.

Adding to 114101200 its reverse (2101411), we get a palindrome (116202611).

The spelling of 114101200 in words is "one hundred fourteen million, one hundred one thousand, two hundred".