210161000 has 96 divisors (see below), whose sum is σ = 572200200. Its totient is φ = 72038400.

The previous prime is 210160967. The next prime is 210161041. The reversal of 210161000 is 161012.

It can be written as a sum of positive squares in 4 ways, for example, as 117115684 + 93045316 = 10822^2 + 9646^2 .

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, 46856 + ... + 51144.

Almost surely, 2^210161000 is an apocalyptic number.

210161000 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 210161000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286100100).

210161000 is an abundant number, since it is smaller than the sum of its proper divisors (362039200).

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

210161000 is a wasteful number, since it uses less digits than its factorization.

210161000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4324 (or 4303 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 210161000 is about 14496.9307096364. The cubic root of 210161000 is about 594.5440567016.

Adding to 210161000 its product of nonzero digits (12), we get a palindrome (210161012).

The spelling of 210161000 in words is "two hundred ten million, one hundred sixty-one thousand".