106409 has 4 divisors (see below), whose sum is σ = 107604. Its totient is φ = 105216.

The previous prime is 106397. The next prime is 106411. The reversal of 106409 is 904601.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 38809 + 67600 = 197^2 + 260^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106409 is a prime.

It is a super-2 number, since 2×106409² = 22645750562, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 452 + ... + 645.

It is an arithmetic number, because the mean of its divisors is an integer number (26901).

2¹⁰⁶⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

106409 is a deficient number, since it is larger than the sum of its proper divisors (1195).

106409 is an equidigital number, since it uses as much as digits as its factorization.

106409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 106409 is about 326.2039239494. The cubic root of 106409 is about 47.3870260682.

It can be divided in two parts, 106 and 409, that added together give a palindrome (515).

The spelling of 106409 in words is "one hundred six thousand, four hundred nine".