114342100 has 36 divisors (see below), whose sum is σ = 250601148. Its totient is φ = 45280000.

The previous prime is 114342089. The next prime is 114342103. The reversal of 114342100 is 1243411.

It can be written as a sum of positive squares in 6 ways, for example, as 1175056 + 113167044 = 1084^2 + 10638^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114342103) by changing a digit.

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, 4440 + ... + 15760.

It is an arithmetic number, because the mean of its divisors is an integer number (6961143).

Almost surely, 2^114342100 is an apocalyptic number.

114342100 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 114342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125300574).

114342100 is an abundant number, since it is smaller than the sum of its proper divisors (136259048).

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

114342100 is a wasteful number, since it uses less digits than its factorization.

114342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11436 (or 11429 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 114342100 is about 10693.0865515996. The cubic root of 114342100 is about 485.3652967634.

Adding to 114342100 its reverse (1243411), we get a palindrome (115585511).

The spelling of 114342100 in words is "one hundred fourteen million, three hundred forty-two thousand, one hundred".