100891 has 12 divisors (see below), whose sum is σ = 123120. Its totient is φ = 82320.

The previous prime is 100853. The next prime is 100907. The reversal of 100891 is 198001.

It is not a de Polignac number, because 100891 - 2⁹ = 100379 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100801) 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, 1386 + ... + 1456.

It is an arithmetic number, because the mean of its divisors is an integer number (10260).

2¹⁰⁰⁸⁹¹ is an apocalyptic number.

100891 is a deficient number, since it is larger than the sum of its proper divisors (22229).

100891 is an equidigital number, since it uses as much as digits as its factorization.

100891 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The square root of 100891 is about 317.6334365271. The cubic root of 100891 is about 46.5533361093.

Adding to 100891 its reverse (198001), we get a palindrome (298892).

The spelling of 100891 in words is "one hundred thousand, eight hundred ninety-one".