99019200 has 252 divisors, whose sum is σ = 378802392. Its totient is φ = 22579200.

The previous prime is 99019189. The next prime is 99019201. The reversal of 99019200 is 291099.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99019201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 234990 + ... + 235410.

Almost surely, 2^99019200 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 99019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189401196).

99019200 is an abundant number, since it is smaller than the sum of its proper divisors (279783192).

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

99019200 is a wasteful number, since it uses less digits than its factorization.

99019200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 30.

The square root of 99019200 is about 9950.8391605934. The cubic root of 99019200 is about 462.6364048600.

The spelling of 99019200 in words is "ninety-nine million, nineteen thousand, two hundred".