100104 has 32 divisors (see below), whose sum is σ = 258720. Its totient is φ = 32256.

The previous prime is 100103. The next prime is 100109. The reversal of 100104 is 401001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a junction number, because it is equal to n+sod(n) for n = 100092 and 100101.

It is not an unprimeable number, because it can be changed into a prime (100103) 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, 984 + ... + 1080.

It is an arithmetic number, because the mean of its divisors is an integer number (8085).

2¹⁰⁰¹⁰⁴ 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 100104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129360).

100104 is an abundant number, since it is smaller than the sum of its proper divisors (158616).

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

100104 is a wasteful number, since it uses less digits than its factorization.

100104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 100104 is about 316.3921617234. The cubic root of 100104 is about 46.4319736025.

Adding to 100104 its reverse (401001), we get a palindrome (501105).

The spelling of 100104 in words is "one hundred thousand, one hundred four", and thus it is an iban number.