542100 has 72 divisors (see below), whose sum is σ = 1701280. Its totient is φ = 132480.

The previous prime is 542093. The next prime is 542111. The reversal of 542100 is 1245.

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

It is a nialpdrome in base 10 and base 15.

It is a congruent number.

It is an unprimeable 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 23 ways as a sum of consecutive naturals, for example, 3831 + ... + 3969.

2⁵⁴²¹⁰⁰ is an apocalyptic number.

542100 is a gapful number since it is divisible by the number (50) 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 542100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850640).

542100 is an abundant number, since it is smaller than the sum of its proper divisors (1159180).

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

542100 is a wasteful number, since it uses less digits than its factorization.

542100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 542100 is about 736.2744053680. The cubic root of 542100 is about 81.5379526399.

Adding to 542100 its reverse (1245), we get a palindrome (543345).

The spelling of 542100 in words is "five hundred forty-two thousand, one hundred".