106480409 has 16 divisors (see below), whose sum is σ = 127448832. Its totient is φ = 86980608.

The previous prime is 106480393. The next prime is 106480411. The reversal of 106480409 is 904084601.

It is a cyclic number.

It is not a de Polignac number, because 106480409 - 2⁴ = 106480393 is a prime.

It is a super-3 number, since 3×106480409³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (106480459) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49337 + ... + 51449.

It is an arithmetic number, because the mean of its divisors is an integer number (7965552).

Almost surely, 2^106480409 is an apocalyptic number.

It is an amenable number.

106480409 is a deficient number, since it is larger than the sum of its proper divisors (20968423).

106480409 is a wasteful number, since it uses less digits than its factorization.

106480409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456.

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 106480409 is about 10318.9344895682. The cubic root of 106480409 is about 473.9762386684.

The spelling of 106480409 in words is "one hundred six million, four hundred eighty thousand, four hundred nine".