10800369 has 12 divisors (see below), whose sum is σ = 16104192. Its totient is φ = 6967800.

The previous prime is 10800347. The next prime is 10800373. The reversal of 10800369 is 96300801.

10800369 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10800369 - 2⁷ = 10800241 is a prime.

It is a super-2 number, since 2×10800369² = 233295941072322, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

10800369 is a modest number, since divided by 369 gives 108 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10800329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19077 + ... + 19634.

It is an arithmetic number, because the mean of its divisors is an integer number (1342016).

Almost surely, 2^10800369 is an apocalyptic number.

It is an amenable number.

10800369 is a deficient number, since it is larger than the sum of its proper divisors (5303823).

10800369 is a wasteful number, since it uses less digits than its factorization.

10800369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38748 (or 38745 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10800369 is about 3286.3914861136. The cubic root of 10800369 is about 221.0444073113.

The spelling of 10800369 in words is "ten million, eight hundred thousand, three hundred sixty-nine".