100828 has 24 divisors (see below), whose sum is σ = 217952. Its totient is φ = 39744.

The previous prime is 100823. The next prime is 100829. The reversal of 100828 is 828001.

100828 = 117² + 118² + ... + 123².

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226 + ... + 502.

2¹⁰⁰⁸²⁸ 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 100828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108976).

100828 is an abundant number, since it is smaller than the sum of its proper divisors (117124).

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

100828 is a wasteful number, since it uses less digits than its factorization.

100828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 100828 is about 317.5342501211. The cubic root of 100828 is about 46.5436442278.

Adding to 100828 its reverse (828001), we get a palindrome (928829).

It can be divided in two parts, 10082 and 8, that multiplied together give a square (80656 = 284²).

The spelling of 100828 in words is "one hundred thousand, eight hundred twenty-eight".