8540100 has 72 divisors (see below), whose sum is σ = 27463520. Its totient is φ = 2276640.

The previous prime is 8540099. The next prime is 8540111. The reversal of 8540100 is 10458.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1119 + ... + 4281.

Almost surely, 2^8540100 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 8540100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13731760).

8540100 is an abundant number, since it is smaller than the sum of its proper divisors (18923420).

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

8540100 is a wasteful number, since it uses less digits than its factorization.

8540100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3186 (or 3173 counting only the distinct ones).

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

The square root of 8540100 is about 2922.3449488382. The cubic root of 8540100 is about 204.4031818725.

Adding to 8540100 its reverse (10458), we get a palindrome (8550558).

The spelling of 8540100 in words is "eight million, five hundred forty thousand, one hundred".