8018100 has 108 divisors (see below), whose sum is σ = 25727520. Its totient is φ = 2088000.

The previous prime is 8018089. The next prime is 8018107. The reversal of 8018100 is 18108.

It is a happy number.

It is a super-2 number, since 2×8018100² = 128579855220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8018107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53025 + ... + 53175.

Almost surely, 2^8018100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8018100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12863760).

8018100 is an abundant number, since it is smaller than the sum of its proper divisors (17709420).

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

8018100 is a wasteful number, since it uses less digits than its factorization.

8018100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 220 counting only the distinct ones).

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

The square root of 8018100 is about 2831.6249751689. The cubic root of 8018100 is about 200.1507197226.

It can be divided in two parts, 8018 and 100, that added together give a palindrome (8118).

The spelling of 8018100 in words is "eight million, eighteen thousand, one hundred".