100992 has 32 divisors (see below), whose sum is σ = 269280. Its totient is φ = 33536.

The previous prime is 100987. The next prime is 100999. The reversal of 100992 is 299001.

It is a happy number.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 100992.

It is not an unprimeable number, because it can be changed into a prime (100999) by changing a digit.

100992 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, 253 + ... + 515.

It is an arithmetic number, because the mean of its divisors is an integer number (8415).

2¹⁰⁰⁹⁹² is an apocalyptic number.

100992 is a gapful number since it is divisible by the number (12) 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 100992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134640).

100992 is an abundant number, since it is smaller than the sum of its proper divisors (168288).

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

100992 is an equidigital number, since it uses as much as digits as its factorization.

100992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 100992 is about 317.7923850567. The cubic root of 100992 is about 46.5688654721.

Adding to 100992 its reverse (299001), we get a palindrome (399993).

It can be divided in two parts, 10099 and 2, that added together give a palindrome (10101).

The spelling of 100992 in words is "one hundred thousand, nine hundred ninety-two".