99943200 has 288 divisors, whose sum is σ = 413723520. Its totient is φ = 22809600.

The previous prime is 99943177. The next prime is 99943229. The reversal of 99943200 is 234999.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150870 + ... + 151530.

It is an arithmetic number, because the mean of its divisors is an integer number (1436540).

Almost surely, 2^99943200 is an apocalyptic number.

99943200 is a gapful number since it is divisible by the number (90) 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 99943200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206861760).

99943200 is an abundant number, since it is smaller than the sum of its proper divisors (313780320).

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

99943200 is a wasteful number, since it uses less digits than its factorization.

99943200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 99943200 is about 9997.1595966054. The cubic root of 99943200 is about 464.0709859687.

The spelling of 99943200 in words is "ninety-nine million, nine hundred forty-three thousand, two hundred".