99105984 has 112 divisors (see below), whose sum is σ = 295290240. Its totient is φ = 32590080.

The previous prime is 99105973. The next prime is 99106001. The reversal of 99105984 is 48950199.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143079 + ... + 143769.

It is an arithmetic number, because the mean of its divisors is an integer number (2636520).

Almost surely, 2^99105984 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 99105984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147645120).

99105984 is an abundant number, since it is smaller than the sum of its proper divisors (196184256).

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

99105984 is a wasteful number, since it uses less digits than its factorization.

99105984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 99105984 is about 9955.1988428157. The cubic root of 99105984 is about 462.7715224735.

The spelling of 99105984 in words is "ninety-nine million, one hundred five thousand, nine hundred eighty-four".