2024100 has 108 divisors (see below), whose sum is σ = 6871956. Its totient is φ = 495360.

The previous prime is 2024093. The next prime is 2024101. The reversal of 2024100 is 14202.

It can be written as a sum of positive squares in 6 ways, for example, as 19044 + 2005056 = 138^2 + 1416^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024101) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 11614 + ... + 11786.

2^2024100 is an apocalyptic number.

2024100 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 2024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435978).

2024100 is an abundant number, since it is smaller than the sum of its proper divisors (4847856).

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

2024100 is a wasteful number, since it uses less digits than its factorization.

2024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

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

The square root of 2024100 is about 1422.7086841655. The cubic root of 2024100 is about 126.4961540697.

Adding to 2024100 its reverse (14202), we get a palindrome (2038302).

The spelling of 2024100 in words is "two million, twenty-four thousand, one hundred".