201042 has 40 divisors (see below), whose sum is σ = 483516. Its totient is φ = 62208.

The previous prime is 201037. The next prime is 201049. The reversal of 201042 is 240102.

It can be written as a sum of positive squares in 2 ways, for example, as 194481 + 6561 = 441^2 + 81^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (201049) by changing a digit.

201042 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2718 + ... + 2790.

2²⁰¹⁰⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241758).

201042 is an abundant number, since it is smaller than the sum of its proper divisors (282474).

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

201042 is a wasteful number, since it uses less digits than its factorization.

201042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 201042 is about 448.3770734549. The cubic root of 201042 is about 58.5817397784.

Adding to 201042 its reverse (240102), we get a palindrome (441144).

Subtracting 201042 from its reverse (240102), we obtain a triangular number (39060 = T₂₇₉).

The spelling of 201042 in words is "two hundred one thousand, forty-two", and thus it is an iban number.