10775205 has 48 divisors (see below), whose sum is σ = 21665280. Its totient is φ = 4852224.

The previous prime is 10775203. The next prime is 10775213. The reversal of 10775205 is 50257701.

It is not a de Polignac number, because 10775205 - 2¹ = 10775203 is a prime.

It is a super-2 number, since 2×10775205² = 232210085584050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10775203) 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, 24669 + ... + 25101.

It is an arithmetic number, because the mean of its divisors is an integer number (451360).

Almost surely, 2^10775205 is an apocalyptic number.

10775205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10775205 is an abundant number, since it is smaller than the sum of its proper divisors (10890075).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10775205 is a wasteful number, since it uses less digits than its factorization.

10775205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 10775205 is about 3282.5607382042. The cubic root of 10775205 is about 220.8726018535.

The spelling of 10775205 in words is "ten million, seven hundred seventy-five thousand, two hundred five".