8100018 has 12 divisors (see below), whose sum is σ = 17550078. Its totient is φ = 2700000.

The previous prime is 8099999. The next prime is 8100073.

It is a happy number.

8100018 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 6365529 + 1734489 = 2523^2 + 1317^2 .

It is a super-3 number, since 3×8100018³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 450001 = 8100018 / (8 + 1 + 0 + 0 + 0 + 1 + 8).

8100018 is a strobogrammatic number because it is the same when read upside-down.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 224983 + ... + 225018.

Almost surely, 2^8100018 is an apocalyptic number.

8100018 is an abundant number, since it is smaller than the sum of its proper divisors (9450060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8100018 is a wasteful number, since it uses less digits than its factorization.

8100018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450009 (or 450006 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 8100018 is about 2846.0530564274. The cubic root of 8100018 is about 200.8300337874.

It can be divided in two parts, 81000 and 18, that added together give a palindrome (81018).

The spelling of 8100018 in words is "eight million, one hundred thousand, eighteen".