99516416 has 32 divisors (see below), whose sum is σ = 199095330. Its totient is φ = 49741824.

The previous prime is 99516407. The next prime is 99516449. The reversal of 99516416 is 61461599.

It can be written as a sum of positive squares in only one way, i.e., 69222400 + 30294016 = 8320^2 + 5504^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 31250 + ... + 34286.

Almost surely, 2^99516416 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 99516416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99547665).

99516416 is an abundant number, since it is smaller than the sum of its proper divisors (99578914).

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

99516416 is an frugal number, since it uses more digits than its factorization.

99516416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3067 (or 3039 counting only the distinct ones).

The product of its digits is 58320, while the sum is 41.

The square root of 99516416 is about 9975.7914974201. The cubic root of 99516416 is about 463.4094746883.

The spelling of 99516416 in words is "ninety-nine million, five hundred sixteen thousand, four hundred sixteen".