820310604100 has 81 divisors (see below), whose sum is σ = 1927812469527. Its totient is φ = 302840441280.

The previous prime is 820310604089. The next prime is 820310604173. The reversal of 820310604100 is 1406013028.

The square root of 820310604100 is 905710.

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 211436271684 + 608874332416 = 459822^2 + 780304^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 117738817 + ... + 117745783.

Almost surely, 2^820310604100 is an apocalyptic number.

820310604100 is the 905710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820310604100

820310604100 is an abundant number, since it is smaller than the sum of its proper divisors (1107501865427).

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

820310604100 is an equidigital number, since it uses as much as digits as its factorization.

820310604100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13974 (or 6987 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Multiplying 820310604100 by its sum of digits (25), we get a square (20507765102500 = 4528550²).

820310604100 divided by its sum of digits (25) gives a square (32812424164 = 181142²).

Adding to 820310604100 its reverse (1406013028), we get a palindrome (821716617128).

The spelling of 820310604100 in words is "eight hundred twenty billion, three hundred ten million, six hundred four thousand, one hundred".