99881600 has 240 divisors, whose sum is σ = 309986670. Its totient is φ = 31610880.

The previous prime is 99881599. The next prime is 99881603. The reversal of 99881600 is 618899.

It can be written as a sum of positive squares in 3 ways, for example, as 55472704 + 44408896 = 7448^2 + 6664^2 .

It is not an unprimeable number, because it can be changed into a prime (99881603) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7683194 + ... + 7683206.

Almost surely, 2^99881600 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 99881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154993335).

99881600 is an abundant number, since it is smaller than the sum of its proper divisors (210105070).

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

99881600 is an equidigital number, since it uses as much as digits as its factorization.

99881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 41.

The square root of 99881600 is about 9994.0782466419. The cubic root of 99881600 is about 463.9756229762.

The spelling of 99881600 in words is "ninety-nine million, eight hundred eighty-one thousand, six hundred".