99985200 has 120 divisors (see below), whose sum is σ = 366071808. Its totient is φ = 22851840.

The previous prime is 99985159. The next prime is 99985217. The reversal of 99985200 is 258999.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 10.

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, 2449 + ... + 14351.

Almost surely, 2^99985200 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 99985200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183035904).

99985200 is an abundant number, since it is smaller than the sum of its proper divisors (266086608).

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

99985200 is a wasteful number, since it uses less digits than its factorization.

99985200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11931 (or 11920 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 99985200 is about 9999.2599726180. The cubic root of 99985200 is about 464.1359837266.

The spelling of 99985200 in words is "ninety-nine million, nine hundred eighty-five thousand, two hundred".