605800100 has 72 divisors (see below), whose sum is σ = 1396738728. Its totient is φ = 227276800.

The previous prime is 605800079. The next prime is 605800147. The reversal of 605800100 is 1008506.

It can be written as a sum of positive squares in 12 ways, for example, as 277755556 + 328044544 = 16666^2 + 18112^2 .

It is a super-2 number, since 2×605800100² = 733987522320020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783314 + ... + 784086.

It is an arithmetic number, because the mean of its divisors is an integer number (19399149).

Almost surely, 2^605800100 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 605800100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698369364).

605800100 is an abundant number, since it is smaller than the sum of its proper divisors (790938628).

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

605800100 is a wasteful number, since it uses less digits than its factorization.

605800100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 605800100 is about 24613.0067240880. The cubic root of 605800100 is about 846.1417289428.

Adding to 605800100 its reverse (1008506), we get a palindrome (606808606).

The spelling of 605800100 in words is "six hundred five million, eight hundred thousand, one hundred".