201610200 has 144 divisors (see below), whose sum is σ = 687221640. Its totient is φ = 48857600.

The previous prime is 201610153. The next prime is 201610207. The reversal of 201610200 is 2016102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201610207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71212 + ... + 73988.

Almost surely, 2^201610200 is an apocalyptic number.

201610200 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 201610200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343610820).

201610200 is an abundant number, since it is smaller than the sum of its proper divisors (485611440).

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

201610200 is a wasteful number, since it uses less digits than its factorization.

201610200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2798 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 201610200 is about 14198.9506654541. The cubic root of 201610200 is about 586.3687723736.

Adding to 201610200 its reverse (2016102), we get a palindrome (203626302).

Multiplying 201610200 by its reverse (2016102), we get a square (406466727440400 = 20161020²).

201610200 divided by its reverse (2016102) gives a square (100 = 10²).

The spelling of 201610200 in words is "two hundred one million, six hundred ten thousand, two hundred".