100409 has 8 divisors (see below), whose sum is σ = 107520. Its totient is φ = 93600.

The previous prime is 100403. The next prime is 100411. The reversal of 100409 is 904001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100409 - 2⁴ = 100393 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100393 and 100402.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 100409.

It is not an unprimeable number, because it can be changed into a prime (100403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1232 + ... + 1310.

It is an arithmetic number, because the mean of its divisors is an integer number (13440).

2¹⁰⁰⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

100409 is a deficient number, since it is larger than the sum of its proper divisors (7111).

100409 is an equidigital number, since it uses as much as digits as its factorization.

100409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 100409 is about 316.8737919109. The cubic root of 100409 is about 46.4790825872.

The spelling of 100409 in words is "one hundred thousand, four hundred nine".