2001105 has 36 divisors (see below), whose sum is σ = 3660852. Its totient is φ = 1049760.

The previous prime is 2001101. The next prime is 2001127. The reversal of 2001105 is 5011002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 321489 + 1679616 = 567^2 + 1296^2 .

It is not a de Polignac number, because 2001105 - 2² = 2001101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

2001105 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2001101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32775 + ... + 32835.

2^2001105 is an apocalyptic number.

It is an amenable number.

2001105 is a deficient number, since it is larger than the sum of its proper divisors (1659747).

2001105 is an frugal number, since it uses more digits than its factorization.

2001105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 2001105 is about 1414.6041849224. The cubic root of 2001105 is about 126.0153042635.

Adding to 2001105 its reverse (5011002), we get a palindrome (7012107).

The spelling of 2001105 in words is "two million, one thousand, one hundred five".