10800233 has 8 divisors (see below), whose sum is σ = 11092296. Its totient is φ = 10512000.

The previous prime is 10800211. The next prime is 10800241. The reversal of 10800233 is 33200801.

It can be written as a sum of positive squares in 4 ways, for example, as 61504 + 10738729 = 248^2 + 3277^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10800233 - 2¹⁰ = 10799209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10800203) 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 7 ways as a sum of consecutive naturals, for example, 5285 + ... + 7037.

It is an arithmetic number, because the mean of its divisors is an integer number (1386537).

Almost surely, 2^10800233 is an apocalyptic number.

It is an amenable number.

10800233 is a deficient number, since it is larger than the sum of its proper divisors (292063).

10800233 is a wasteful number, since it uses less digits than its factorization.

10800233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 10800233 is about 3286.3707946609. The cubic root of 10800233 is about 221.0434794984.

The spelling of 10800233 in words is "ten million, eight hundred thousand, two hundred thirty-three".