99905160 has 64 divisors (see below), whose sum is σ = 302719680. Its totient is φ = 26374400.

The previous prime is 99905153. The next prime is 99905161. The reversal of 99905160 is 6150999.

It is not an unprimeable number, because it can be changed into a prime (99905161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7999 + ... + 16241.

It is an arithmetic number, because the mean of its divisors is an integer number (4729995).

Almost surely, 2^99905160 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 99905160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151359840).

99905160 is an abundant number, since it is smaller than the sum of its proper divisors (202814520).

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

99905160 is a wasteful number, since it uses less digits than its factorization.

99905160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8358 (or 8354 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 39.

The square root of 99905160 is about 9995.2568751383. The cubic root of 99905160 is about 464.0121008537.

The spelling of 99905160 in words is "ninety-nine million, nine hundred five thousand, one hundred sixty".