96103200 has 144 divisors (see below), whose sum is σ = 326604096. Its totient is φ = 24499200.

The previous prime is 96103199. The next prime is 96103201. The reversal of 96103200 is 230169.

It is an interprime number because it is at equal distance from previous prime (96103199) and next prime (96103201).

It is not an unprimeable number, because it can be changed into a prime (96103201) 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 23 ways as a sum of consecutive naturals, for example, 54330 + ... + 56070.

It is an arithmetic number, because the mean of its divisors is an integer number (2268084).

Almost surely, 2^96103200 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 96103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163302048).

96103200 is an abundant number, since it is smaller than the sum of its proper divisors (230500896).

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

96103200 is a wasteful number, since it uses less digits than its factorization.

96103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 96103200 is about 9803.2239594941. The cubic root of 96103200 is about 458.0497139707.

Adding to 96103200 its reverse (230169), we get a palindrome (96333369).

The spelling of 96103200 in words is "ninety-six million, one hundred three thousand, two hundred".