99829152 has 96 divisors (see below), whose sum is σ = 293025600. Its totient is φ = 33064704.

The previous prime is 99829139. The next prime is 99829153. The reversal of 99829152 is 25192899.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 99829098 and 99829107.

It is not an unprimeable number, because it can be changed into a prime (99829153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195874 + ... + 196382.

It is an arithmetic number, because the mean of its divisors is an integer number (3052350).

Almost surely, 2^99829152 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 99829152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146512800).

99829152 is an abundant number, since it is smaller than the sum of its proper divisors (193196448).

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

99829152 is a wasteful number, since it uses less digits than its factorization.

99829152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 741 counting only the distinct ones).

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

The square root of 99829152 is about 9991.4539482500. The cubic root of 99829152 is about 463.8943972913.

The spelling of 99829152 in words is "ninety-nine million, eight hundred twenty-nine thousand, one hundred fifty-two".