842100 has 72 divisors (see below), whose sum is σ = 2791488. Its totient is φ = 192000.

The previous prime is 842089. The next prime is 842111. The reversal of 842100 is 1248.

It is an interprime number because it is at equal distance from previous prime (842089) and next prime (842111).

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

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 842100.

It is a congruent number.

It is an unprimeable number.

842100 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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1900 + ... + 2300.

2⁸⁴²¹⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 842100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395744).

842100 is an abundant number, since it is smaller than the sum of its proper divisors (1949388).

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

842100 is a wasteful number, since it uses less digits than its factorization.

842100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 842100 is about 917.6600677811. The cubic root of 842100 is about 94.4324424067.

Adding to 842100 its reverse (1248), we get a palindrome (843348).

It can be divided in two parts, 84 and 2100, that multiplied together give a square (176400 = 420²).

The spelling of 842100 in words is "eight hundred forty-two thousand, one hundred".