100928 has 28 divisors (see below), whose sum is σ = 213360. Its totient is φ = 47232.

The previous prime is 100927. The next prime is 100931. The reversal of 100928 is 829001.

It is a super-2 number, since 2×100928² = 20372922368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100927) by changing a digit.

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, 1175 + ... + 1257.

It is an arithmetic number, because the mean of its divisors is an integer number (7620).

2¹⁰⁰⁹²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106680).

100928 is an abundant number, since it is smaller than the sum of its proper divisors (112432).

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

100928 is an equidigital number, since it uses as much as digits as its factorization.

100928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 100928 is about 317.6916744266. The cubic root of 100928 is about 46.5590262862.

Adding to 100928 its reverse (829001), we get a palindrome (929929).

The spelling of 100928 in words is "one hundred thousand, nine hundred twenty-eight".