210032100 has 108 divisors (see below), whose sum is σ = 664684020. Its totient is φ = 55468800.

The previous prime is 210032041. The next prime is 210032107. The reversal of 210032100 is 1230012.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 12236004 + 197796096 = 3498^2 + 14064^2 .

It is a super-2 number, since 2×210032100² = 88226966060820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210032107) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 97030 + ... + 99170.

Almost surely, 2^210032100 is an apocalyptic number.

210032100 is a gapful number since it is divisible by the number (20) 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 210032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332342010).

210032100 is an abundant number, since it is smaller than the sum of its proper divisors (454651920).

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

210032100 is a wasteful number, since it uses less digits than its factorization.

210032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 210032100 is about 14492.4842590910. The cubic root of 210032100 is about 594.4224794309.

Adding to 210032100 its reverse (1230012), we get a palindrome (211262112).

The spelling of 210032100 in words is "two hundred ten million, thirty-two thousand, one hundred".