100842 has 24 divisors (see below), whose sum is σ = 235296. Its totient is φ = 28812.

The previous prime is 100829. The next prime is 100847. The reversal of 100842 is 248001.

It is an Ulam number.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (100847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14403 + ... + 14409.

It is an arithmetic number, because the mean of its divisors is an integer number (9804).

2¹⁰⁰⁸⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117648).

100842 is an abundant number, since it is smaller than the sum of its proper divisors (134454).

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

100842 is an frugal number, since it uses more digits than its factorization.

100842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 100842 is about 317.5562942220. The cubic root of 100842 is about 46.5457983281.

Adding to 100842 its reverse (248001), we get a palindrome (348843).

The spelling of 100842 in words is "one hundred thousand, eight hundred forty-two".