810100000 has 72 divisors (see below), whose sum is σ = 1993723956. Its totient is φ = 324000000.

The previous prime is 810099973. The next prime is 810100001. The reversal of 810100000 is 1018.

It can be written as a sum of positive squares in 6 ways, for example, as 583696 + 809516304 = 764^2 + 28452^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 810100000.

It is not an unprimeable number, because it can be changed into a prime (810100001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95950 + ... + 104050.

Almost surely, 2^810100000 is an apocalyptic number.

810100000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996861978).

810100000 is an abundant number, since it is smaller than the sum of its proper divisors (1183623956).

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

810100000 is an frugal number, since it uses more digits than its factorization.

810100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8136 (or 8108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 810100000 is about 28462.2557082182. The cubic root of 810100000 is about 932.2081111028.

Adding to 810100000 its reverse (1018), we get a palindrome (810101018).

The spelling of 810100000 in words is "eight hundred ten million, one hundred thousand".