20042100 has 144 divisors (see below), whose sum is σ = 69509440. Its totient is φ = 4924800.

The previous prime is 20042059. The next prime is 20042101. The reversal of 20042100 is 124002.

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 (20042101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34815 + ... + 35385.

Almost surely, 2^20042100 is an apocalyptic number.

20042100 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 20042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34754720).

20042100 is an abundant number, since it is smaller than the sum of its proper divisors (49467340).

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

20042100 is a wasteful number, since it uses less digits than its factorization.

20042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 594 counting only the distinct ones).

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

The square root of 20042100 is about 4476.8404036776. The cubic root of 20042100 is about 271.6320898111.

Adding to 20042100 its reverse (124002), we get a palindrome (20166102).

The spelling of 20042100 in words is "twenty million, forty-two thousand, one hundred".