242100 has 54 divisors (see below), whose sum is σ = 761670. Its totient is φ = 64320.

The previous prime is 242093. The next prime is 242101. The reversal of 242100 is 1242.

It can be written as a sum of positive squares in 3 ways, for example, as 36 + 242064 = 6^2 + 492^2 .

It is a super-2 number, since 2×242100² = 117224820000, which contains 22 as substring.

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242101) by changing a digit.

242100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 766 + ... + 1034.

It is an arithmetic number, because the mean of its divisors is an integer number (14105).

2²⁴²¹⁰⁰ is an apocalyptic number.

242100 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 242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380835).

242100 is an abundant number, since it is smaller than the sum of its proper divisors (519570).

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

242100 is a wasteful number, since it uses less digits than its factorization.

242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 279 counting only the distinct ones).

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

The square root of 242100 is about 492.0365840057. The cubic root of 242100 is about 62.3253792425.

Adding to 242100 its reverse (1242), we get a palindrome (243342).

The spelling of 242100 in words is "two hundred forty-two thousand, one hundred", and thus it is an iban number.