100872 has 32 divisors (see below), whose sum is σ = 280800. Its totient is φ = 33552.

The previous prime is 100853. The next prime is 100907. The reversal of 100872 is 278001.

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

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 18 + ... + 449.

It is an arithmetic number, because the mean of its divisors is an integer number (8775).

2¹⁰⁰⁸⁷² is an apocalyptic number.

100872 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 100872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140400).

100872 is an abundant number, since it is smaller than the sum of its proper divisors (179928).

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

100872 is a wasteful number, since it uses less digits than its factorization.

100872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 100872 is about 317.6035264288. The cubic root of 100872 is about 46.5504135859.

Adding to 100872 its reverse (278001), we get a palindrome (378873).

The spelling of 100872 in words is "one hundred thousand, eight hundred seventy-two".