8013105 has 12 divisors (see below), whose sum is σ = 13889460. Its totient is φ = 4273632.

The previous prime is 8013101. The next prime is 8013107. The reversal of 8013105 is 5013108.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1418481 + 6594624 = 1191^2 + 2568^2 .

It is not a de Polignac number, because 8013105 - 2² = 8013101 is a prime.

It is a Curzon number.

8013105 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (8013101) 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 11 ways as a sum of consecutive naturals, for example, 88990 + ... + 89079.

It is an arithmetic number, because the mean of its divisors is an integer number (1157455).

Almost surely, 2^8013105 is an apocalyptic number.

It is an amenable number.

8013105 is a deficient number, since it is larger than the sum of its proper divisors (5876355).

8013105 is a wasteful number, since it uses less digits than its factorization.

8013105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178080 (or 178077 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 8013105 is about 2830.7428353702. The cubic root of 8013105 is about 200.1091487552.

It can be divided in two parts, 8013 and 105, that added together give a palindrome (8118).

The spelling of 8013105 in words is "eight million, thirteen thousand, one hundred five".