8040105 has 48 divisors (see below), whose sum is σ = 14798160. Its totient is φ = 4032000.

The previous prime is 8040091. The next prime is 8040121. The reversal of 8040105 is 5010408.

It can be written as a sum of positive squares in 8 ways, for example, as 36864 + 8003241 = 192^2 + 2829^2 .

It is not a de Polignac number, because 8040105 - 2⁴ = 8040089 is a prime.

It is a super-2 number, since 2×8040105² = 129286576822050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79555 + ... + 79655.

It is an arithmetic number, because the mean of its divisors is an integer number (308295).

Almost surely, 2^8040105 is an apocalyptic number.

It is an amenable number.

8040105 is a deficient number, since it is larger than the sum of its proper divisors (6758055).

8040105 is a wasteful number, since it uses less digits than its factorization.

8040105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 8040105 is about 2835.5078910135. The cubic root of 8040105 is about 200.3336514075. Note that the first 3 decimals are identical.

The spelling of 8040105 in words is "eight million, forty thousand, one hundred five".