100825 has 12 divisors (see below), whose sum is σ = 129580. Its totient is φ = 77760.

The previous prime is 100823. The next prime is 100829. The reversal of 100825 is 528001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3481 + 97344 = 59^2 + 312^2 .

It is not a de Polignac number, because 100825 - 2¹ = 100823 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100799 and 100808.

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 11 ways as a sum of consecutive naturals, for example, 871 + ... + 979.

2¹⁰⁰⁸²⁵ is an apocalyptic number.

It is an amenable number.

100825 is a deficient number, since it is larger than the sum of its proper divisors (28755).

100825 is a wasteful number, since it uses less digits than its factorization.

100825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 100825 is about 317.5295261861. The cubic root of 100825 is about 46.5431826089.

Adding to 100825 its reverse (528001), we get a palindrome (628826).

It can be divided in two parts, 1008 and 25, that multiplied together give a triangular number (25200 = T₂₂₄).

The spelling of 100825 in words is "one hundred thousand, eight hundred twenty-five".