114114300 has 72 divisors (see below), whose sum is σ = 336447216. Its totient is φ = 29852160.

The previous prime is 114114289. The next prime is 114114307. The reversal of 114114300 is 3411411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 114114300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114114307) 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, 12312 + ... + 19488.

It is an arithmetic number, because the mean of its divisors is an integer number (4672878).

Almost surely, 2^114114300 is an apocalyptic number.

114114300 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 114114300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168223608).

114114300 is an abundant number, since it is smaller than the sum of its proper divisors (222332916).

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

114114300 is a wasteful number, since it uses less digits than its factorization.

114114300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7247 (or 7240 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 114114300 is about 10682.4294989483. The cubic root of 114114300 is about 485.0427567081.

Adding to 114114300 its reverse (3411411), we get a palindrome (117525711).

The spelling of 114114300 in words is "one hundred fourteen million, one hundred fourteen thousand, three hundred".