8101800100 has 27 divisors (see below), whose sum is σ = 17582859651. Its totient is φ = 3240360000.

The previous prime is 8101800097. The next prime is 8101800101. The reversal of 8101800100 is 10081018.

The square root of 8101800100 is 90010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1805060196 + 6296739904 = 42486^2 + 79352^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8101800101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 895600 + ... + 904600.

Almost surely, 2^8101800100 is an apocalyptic number.

8101800100 is the 90010-th square number.

It is an amenable number.

8101800100 is an abundant number, since it is smaller than the sum of its proper divisors (9481059551).

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

8101800100 is an frugal number, since it uses more digits than its factorization.

8101800100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18016 (or 9008 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

The cubic root of 8101800100 is about 2008.4476103696.

Multiplying 8101800100 by its product of nonzero digits (64), we get a square (518515206400 = 720080²).

Adding to 8101800100 its reverse (10081018), we get a palindrome (8111881118).

It can be divided in two parts, 8101 and 800100, that added together give a square (808201 = 899²).

The spelling of 8101800100 in words is "eight billion, one hundred one million, eight hundred thousand, one hundred".