20024100 has 108 divisors (see below), whose sum is σ = 66124240. Its totient is φ = 5054400.

The previous prime is 20024083. The next prime is 20024117. The reversal of 20024100 is 142002.

It is an interprime number because it is at equal distance from previous prime (20024083) and next prime (20024117).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16515 + ... + 17685.

Almost surely, 2^20024100 is an apocalyptic number.

20024100 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 20024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33062120).

20024100 is an abundant number, since it is smaller than the sum of its proper divisors (46100140).

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

20024100 is a wasteful number, since it uses less digits than its factorization.

20024100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1200 counting only the distinct ones).

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

The square root of 20024100 is about 4474.8296056945. The cubic root of 20024100 is about 271.5507470030.

Adding to 20024100 its reverse (142002), we get a palindrome (20166102).

The spelling of 20024100 in words is "twenty million, twenty-four thousand, one hundred".