114632100 has 108 divisors (see below), whose sum is σ = 392006160. Its totient is φ = 27787200.

The previous prime is 114632087. The next prime is 114632101. The reversal of 114632100 is 1236411.

It is a happy number.

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 (114632101) 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 35 ways as a sum of consecutive naturals, for example, 4111 + ... + 15689.

Almost surely, 2^114632100 is an apocalyptic number.

114632100 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 114632100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196003080).

114632100 is an abundant number, since it is smaller than the sum of its proper divisors (277374060).

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

114632100 is a wasteful number, since it uses less digits than its factorization.

114632100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11610 (or 11600 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 114632100 is about 10706.6381278158. The cubic root of 114632100 is about 485.7752860444.

Adding to 114632100 its reverse (1236411), we get a palindrome (115868511).

The spelling of 114632100 in words is "one hundred fourteen million, six hundred thirty-two thousand, one hundred".