99955200 has 240 divisors, whose sum is σ = 350111520. Its totient is φ = 25067520.

The previous prime is 99955187. The next prime is 99955201. The reversal of 99955200 is 255999.

It is a tau number, because it is divible by the number of its divisors (240).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (99955201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 729532 + ... + 729668.

It is an arithmetic number, because the mean of its divisors is an integer number (1458798).

Almost surely, 2^99955200 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 99955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175055760).

99955200 is an abundant number, since it is smaller than the sum of its proper divisors (250156320).

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

99955200 is a wasteful number, since it uses less digits than its factorization.

99955200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 39.

The square root of 99955200 is about 9997.7597490638. The cubic root of 99955200 is about 464.0895586145.

The spelling of 99955200 in words is "ninety-nine million, nine hundred fifty-five thousand, two hundred".