210100000 has 144 divisors (see below), whose sum is σ = 566963712. Its totient is φ = 76000000.

The previous prime is 210099979. The next prime is 210100013. The reversal of 210100000 is 1012.

It is a Harshad number since it is a multiple of its sum of digits (4).

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, 1099905 + ... + 1100095.

It is an arithmetic number, because the mean of its divisors is an integer number (3937248).

Almost surely, 2^210100000 is an apocalyptic number.

210100000 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 210100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283481856).

210100000 is an abundant number, since it is smaller than the sum of its proper divisors (356863712).

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

210100000 is an equidigital number, since it uses as much as digits as its factorization.

210100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 210100000 is about 14494.8266633306. The cubic root of 210100000 is about 594.4865282719.

Adding to 210100000 its reverse (1012), we get a palindrome (210101012).

The spelling of 210100000 in words is "two hundred ten million, one hundred thousand".