100096 has 36 divisors (see below), whose sum is σ = 220752. Its totient is φ = 45056.

The previous prime is 100069. The next prime is 100103. The reversal of 100096 is 690001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

100096 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4341 + ... + 4363.

It is an arithmetic number, because the mean of its divisors is an integer number (6132).

2¹⁰⁰⁰⁹⁶ is an apocalyptic number.

100096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110376).

100096 is an abundant number, since it is smaller than the sum of its proper divisors (120656).

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

100096 is an equidigital number, since it uses as much as digits as its factorization.

100096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 100096 is about 316.3795189326. The cubic root of 100096 is about 46.4307366699.

Adding to 100096 its reverse (690001), we get a palindrome (790097).

The spelling of 100096 in words is "one hundred thousand, ninety-six".