100609 has 2 divisors, whose sum is σ = 100610. Its totient is φ = 100608.

The previous prime is 100591. The next prime is 100613. The reversal of 100609 is 906001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90000 + 10609 = 300^2 + 103^2 .

It is a cyclic number.

It is not a de Polignac number, because 100609 - 2¹¹ = 98561 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100592 and 100601.

It is not a weakly prime, because it can be changed into another prime (100649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50304 + 50305.

It is an arithmetic number, because the mean of its divisors is an integer number (50305).

2¹⁰⁰⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

100609 is a deficient number, since it is larger than the sum of its proper divisors (1).

100609 is an equidigital number, since it uses as much as digits as its factorization.

100609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 100609 is about 317.1892179756. The cubic root of 100609 is about 46.5099219587.

The spelling of 100609 in words is "one hundred thousand, six hundred nine".