99114400 has 144 divisors (see below), whose sum is σ = 301855680. Its totient is φ = 30873600.

The previous prime is 99114397. The next prime is 99114401. The reversal of 99114400 is 441199.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (99114401) 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 23 ways as a sum of consecutive naturals, for example, 60796 + ... + 62404.

It is an arithmetic number, because the mean of its divisors is an integer number (2096220).

Almost surely, 2^99114400 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 99114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150927840).

99114400 is an abundant number, since it is smaller than the sum of its proper divisors (202741280).

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

99114400 is a wasteful number, since it uses less digits than its factorization.

99114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 99114400 is about 9955.6215275592. The cubic root of 99114400 is about 462.7846214972.

Adding to 99114400 its reverse (441199), we get a palindrome (99555599).

The spelling of 99114400 in words is "ninety-nine million, one hundred fourteen thousand, four hundred".