99811200 has 192 divisors, whose sum is σ = 338839920. Its totient is φ = 25804800.

The previous prime is 99811177. The next prime is 99811211. The reversal of 99811200 is 211899.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355060 + ... + 355340.

Almost surely, 2^99811200 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 99811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169419960).

99811200 is an abundant number, since it is smaller than the sum of its proper divisors (239028720).

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

99811200 is a wasteful number, since it uses less digits than its factorization.

99811200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 99811200 is about 9990.5555401089. Note that the first 4 decimals coincide. The cubic root of 99811200 is about 463.8665886760.

The spelling of 99811200 in words is "ninety-nine million, eight hundred eleven thousand, two hundred".