114202116 has 96 divisors (see below), whose sum is σ = 350112000. Its totient is φ = 31497984.

The previous prime is 114202079. The next prime is 114202117. The reversal of 114202116 is 611202411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (114202117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19320 + ... + 24528.

It is an arithmetic number, because the mean of its divisors is an integer number (3647000).

Almost surely, 2^114202116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114202116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175056000).

114202116 is an abundant number, since it is smaller than the sum of its proper divisors (235909884).

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

114202116 is a wasteful number, since it uses less digits than its factorization.

114202116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5258 (or 5250 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 114202116 is about 10686.5390094268. The cubic root of 114202116 is about 485.1671454227.

Adding to 114202116 its reverse (611202411), we get a palindrome (725404527).

The spelling of 114202116 in words is "one hundred fourteen million, two hundred two thousand, one hundred sixteen".