210580032100 has 81 divisors (see below), whose sum is σ = 462287476161. Its totient is φ = 83261001600.

The previous prime is 210580032083. The next prime is 210580032101. The reversal of 210580032100 is 1230085012.

The square root of 210580032100 is 458890.

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

It can be written as a sum of positive squares in 13 ways, for example, as 207066862116 + 3513169984 = 455046^2 + 59272^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (210580032101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 500189890 + ... + 500190310.

Almost surely, 2^210580032100 is an apocalyptic number.

210580032100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

210580032100 is the 458890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210580032100

210580032100 is an abundant number, since it is smaller than the sum of its proper divisors (251707444061).

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

210580032100 is an equidigital number, since it uses as much as digits as its factorization.

210580032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The spelling of 210580032100 in words is "two hundred ten billion, five hundred eighty million, thirty-two thousand, one hundred".