10800309 has 16 divisors (see below), whose sum is σ = 15567552. Its totient is φ = 6620928.

The previous prime is 10800301. The next prime is 10800311. The reversal of 10800309 is 90300801.

10800309 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10800309 - 2³ = 10800301 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10800301) 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, 17917 + ... + 18509.

It is an arithmetic number, because the mean of its divisors is an integer number (972972).

Almost surely, 2^10800309 is an apocalyptic number.

It is an amenable number.

10800309 is a deficient number, since it is larger than the sum of its proper divisors (4767243).

10800309 is a wasteful number, since it uses less digits than its factorization.

10800309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 10800309 is about 3286.3823575476. The cubic root of 10800309 is about 221.0439979830.

The spelling of 10800309 in words is "ten million, eight hundred thousand, three hundred nine".