1021105 has 16 divisors (see below), whose sum is σ = 1333584. Its totient is φ = 747520.

The previous prime is 1021093. The next prime is 1021123. The reversal of 1021105 is 5011201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5041 + 1016064 = 71^2 + 1008^2 .

It is not a de Polignac number, because 1021105 - 2⁵ = 1021073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1021091 and 1021100.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3339 + ... + 3631.

It is an arithmetic number, because the mean of its divisors is an integer number (83349).

2^1021105 is an apocalyptic number.

It is an amenable number.

1021105 is a deficient number, since it is larger than the sum of its proper divisors (312479).

1021105 is a wasteful number, since it uses less digits than its factorization.

1021105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356.

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

The square root of 1021105 is about 1010.4974022728. The cubic root of 1021105 is about 100.6986081019.

Adding to 1021105 its reverse (5011201), we get a palindrome (6032306).

It can be divided in two parts, 10 and 21105, that added together give a triangular number (21115 = T₂₀₅).

The spelling of 1021105 in words is "one million, twenty-one thousand, one hundred five".