2205105 has 16 divisors (see below), whose sum is σ = 4032384. Its totient is φ = 1008000.

The previous prime is 2205067. The next prime is 2205107. The reversal of 2205105 is 5015022.

It is not a de Polignac number, because 2205105 - 2⁷ = 2204977 is a prime.

It is a super-2 number, since 2×2205105² = 9724976122050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

2205105 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2205107) 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, 10396 + ... + 10605.

It is an arithmetic number, because the mean of its divisors is an integer number (252024).

2^2205105 is an apocalyptic number.

It is an amenable number.

2205105 is a deficient number, since it is larger than the sum of its proper divisors (1827279).

2205105 is a wasteful number, since it uses less digits than its factorization.

2205105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21016.

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 2205105 is about 1484.9595954099. The cubic root of 2205105 is about 130.1596657515.

Multiplying 2205105 by its product of nonzero digits (100), we get a triangular number (220510500 = T₂₁₀₀₀).

The spelling of 2205105 in words is "two million, two hundred five thousand, one hundred five".