10805355 has 48 divisors (see below), whose sum is σ = 20756736. Its totient is φ = 5156160.

The previous prime is 10805339. The next prime is 10805359. The reversal of 10805355 is 55350801.

It is not a de Polignac number, because 10805355 - 2⁴ = 10805339 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10805359) 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 47 ways as a sum of consecutive naturals, for example, 40954 + ... + 41216.

It is an arithmetic number, because the mean of its divisors is an integer number (432432).

Almost surely, 2^10805355 is an apocalyptic number.

10805355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10805355 is a deficient number, since it is larger than the sum of its proper divisors (9951381).

10805355 is a wasteful number, since it uses less digits than its factorization.

10805355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 10805355 is about 3287.1499813668. The cubic root of 10805355 is about 221.0784171943.

The spelling of 10805355 in words is "ten million, eight hundred five thousand, three hundred fifty-five".