100909 has 8 divisors (see below), whose sum is σ = 109440. Its totient is φ = 92736.

The previous prime is 100907. The next prime is 100913. The reversal of 100909 is 909001.

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 100909 - 2¹ = 100907 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

100909 is a modest number, since divided by 909 gives 10 as remainder.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100907) 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, 837 + ... + 949.

It is an arithmetic number, because the mean of its divisors is an integer number (13680).

2¹⁰⁰⁹⁰⁹ is an apocalyptic number.

100909 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

100909 is a deficient number, since it is larger than the sum of its proper divisors (8531).

100909 is a wasteful number, since it uses less digits than its factorization.

100909 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179.

The product of its (nonzero) digits is 81, while the sum is 19.

The square root of 100909 is about 317.6617698119. The cubic root of 100909 is about 46.5561044772.

The spelling of 100909 in words is "one hundred thousand, nine hundred nine".