106028209 has 9 divisors (see below), whose sum is σ = 123422841. Its totient is φ = 90819540.

The previous prime is 106028161. The next prime is 106028231. The reversal of 106028209 is 902820601.

It is a happy number.

The square root of 106028209 is 10297.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 106028209 - 2⁹ = 106027697 is a prime.

It is a super-2 number, since 2×106028209² = 22483962207495362, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106028809) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 71344 + ... + 72814.

It is an arithmetic number, because the mean of its divisors is an integer number (13713649).

Almost surely, 2^106028209 is an apocalyptic number.

106028209 is the 10297-th square number.

106028209 is the 5149-th centered octagonal number.

It is an amenable number.

106028209 is a deficient number, since it is larger than the sum of its proper divisors (17394632).

106028209 is an frugal number, since it uses more digits than its factorization.

106028209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2956 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The cubic root of 106028209 is about 473.3043273349.

The spelling of 106028209 in words is "one hundred six million, twenty-eight thousand, two hundred nine".