210107000 has 64 divisors (see below), whose sum is σ = 495050400. Its totient is φ = 83462400.

The previous prime is 210106973. The next prime is 210107033. The reversal of 210107000 is 701012.

It is a nialpdrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162356 + ... + 163644.

Almost surely, 2^210107000 is an apocalyptic number.

210107000 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 210107000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247525200).

210107000 is an abundant number, since it is smaller than the sum of its proper divisors (284943400).

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

210107000 is a wasteful number, since it uses less digits than its factorization.

210107000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 210107000 is about 14495.0681267802. The cubic root of 210107000 is about 594.4931304605.

Adding to 210107000 its reverse (701012), we get a palindrome (210808012).

The spelling of 210107000 in words is "two hundred ten million, one hundred seven thousand".