100296 has 48 divisors (see below), whose sum is σ = 312000. Its totient is φ = 28512.

The previous prime is 100291. The next prime is 100297. The reversal of 100296 is 692001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 100296.

It is not an unprimeable number, because it can be changed into a prime (100291) by changing a digit.

100296 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405 + ... + 603.

It is an arithmetic number, because the mean of its divisors is an integer number (6500).

2¹⁰⁰²⁹⁶ 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 100296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156000).

100296 is an abundant number, since it is smaller than the sum of its proper divisors (211704).

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

100296 is a wasteful number, since it uses less digits than its factorization.

100296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 100296 is about 316.6954372895. The cubic root of 100296 is about 46.4616402337.

Adding to 100296 its reverse (692001), we get a palindrome (792297).

The spelling of 100296 in words is "one hundred thousand, two hundred ninety-six".