5842100 has 72 divisors (see below), whose sum is σ = 14249088. Its totient is φ = 2060800.

The previous prime is 5842099. The next prime is 5842103. The reversal of 5842100 is 12485.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5842103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51644 + ... + 51756.

It is an arithmetic number, because the mean of its divisors is an integer number (197904).

Almost surely, 2^5842100 is an apocalyptic number.

5842100 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 5842100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7124544).

5842100 is an abundant number, since it is smaller than the sum of its proper divisors (8406988).

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

5842100 is a wasteful number, since it uses less digits than its factorization.

5842100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 5842100 is about 2417.0436487577. The cubic root of 5842100 is about 180.1038495384.

Adding to 5842100 its reverse (12485), we get a palindrome (5854585).

The spelling of 5842100 in words is "five million, eight hundred forty-two thousand, one hundred".