99889200 has 150 divisors (see below), whose sum is σ = 358610604. Its totient is φ = 26628480.

The previous prime is 99889199. The next prime is 99889201. The reversal of 99889200 is 298899.

It is an interprime number because it is at equal distance from previous prime (99889199) and next prime (99889201).

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (99889201) 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 29 ways as a sum of consecutive naturals, for example, 30859 + ... + 33941.

Almost surely, 2^99889200 is an apocalyptic number.

99889200 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 99889200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179305302).

99889200 is an abundant number, since it is smaller than the sum of its proper divisors (258721404).

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

99889200 is a wasteful number, since it uses less digits than its factorization.

99889200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 99889200 is about 9994.4584645693. The cubic root of 99889200 is about 463.9873906601.

The spelling of 99889200 in words is "ninety-nine million, eight hundred eighty-nine thousand, two hundred".