201042600 has 192 divisors, whose sum is σ = 689955840. Its totient is φ = 48019200.

The previous prime is 201042551. The next prime is 201042601. The reversal of 201042600 is 6240102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201042600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201042601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 547617 + ... + 547983.

It is an arithmetic number, because the mean of its divisors is an integer number (3593520).

Almost surely, 2^201042600 is an apocalyptic number.

201042600 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 201042600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344977920).

201042600 is an abundant number, since it is smaller than the sum of its proper divisors (488913240).

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

201042600 is a wasteful number, since it uses less digits than its factorization.

201042600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 201042600 is about 14178.9491853240. The cubic root of 201042600 is about 585.8179805643.

Adding to 201042600 its reverse (6240102), we get a palindrome (207282702).

The spelling of 201042600 in words is "two hundred one million, forty-two thousand, six hundred".