810105 has 16 divisors (see below), whose sum is σ = 1321920. Its totient is φ = 423488.

The previous prime is 810091. The next prime is 810109. The reversal of 810105 is 501018.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 810105 - 2¹² = 806009 is a prime.

It is a super-2 number, since 2×810105² = 1312540222050, which contains 22 as substring.

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

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

810105 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (810109) 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 15 ways as a sum of consecutive naturals, for example, 286 + ... + 1304.

It is an arithmetic number, because the mean of its divisors is an integer number (82620).

2⁸¹⁰¹⁰⁵ is an apocalyptic number.

It is an amenable number.

810105 is a deficient number, since it is larger than the sum of its proper divisors (511815).

810105 is a wasteful number, since it uses less digits than its factorization.

810105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080.

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 810105 is about 900.0583314430. The cubic root of 810105 is about 93.2210028986.

The spelling of 810105 in words is "eight hundred ten thousand, one hundred five".