8020100 has 72 divisors (see below), whose sum is σ = 19873728. Its totient is φ = 2780800.

The previous prime is 8020069. The next prime is 8020121. The reversal of 8020100 is 10208.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a congruent number.

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, 25142 + ... + 25458.

It is an arithmetic number, because the mean of its divisors is an integer number (276024).

Almost surely, 2^8020100 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 8020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9936864).

8020100 is an abundant number, since it is smaller than the sum of its proper divisors (11853628).

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

8020100 is a wasteful number, since it uses less digits than its factorization.

8020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 8020100 is about 2831.9781072600. The cubic root of 8020100 is about 200.1673599142.

Adding to 8020100 its reverse (10208), we get a palindrome (8030308).

The spelling of 8020100 in words is "eight million, twenty thousand, one hundred".