114816900 has 108 divisors (see below), whose sum is σ = 365264816. Its totient is φ = 27825600.

The previous prime is 114816857. The next prime is 114816907. The reversal of 114816900 is 9618411.

It is a super-2 number, since 2×114816900² = 26365841051220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (114816907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34719 + ... + 37881.

Almost surely, 2^114816900 is an apocalyptic number.

114816900 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 114816900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182632408).

114816900 is an abundant number, since it is smaller than the sum of its proper divisors (250447916).

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

114816900 is a wasteful number, since it uses less digits than its factorization.

114816900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 114816900 is about 10715.2648124066. The cubic root of 114816900 is about 486.0361875880.

It can be divided in two parts, 11481 and 6900, that added together give a palindrome (18381).

The spelling of 114816900 in words is "one hundred fourteen million, eight hundred sixteen thousand, nine hundred".