10090805209 has 27 divisors (see below), whose sum is σ = 11349658911. Its totient is φ = 8968443840.

The previous prime is 10090805183. The next prime is 10090805213. The reversal of 10090805209 is 90250809001.

The square root of 10090805209 is 100453.

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

It can be written as a sum of positive squares in only one way, i.e., 7856163225 + 2234641984 = 88635^2 + 47272^2 .

It is not a de Polignac number, because 10090805209 - 2²¹ = 10088708057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10090805269) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32446164 + ... + 32446474.

Almost surely, 2^10090805209 is an apocalyptic number.

10090805209 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10090805209 is the 100453-rd square number.

10090805209 is the 50227-th centered octagonal number.

It is an amenable number.

10090805209 is a deficient number, since it is larger than the sum of its proper divisors (1258853702).

10090805209 is an frugal number, since it uses more digits than its factorization.

10090805209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The spelling of 10090805209 in words is "ten billion, ninety million, eight hundred five thousand, two hundred nine".