204024100 has 72 divisors (see below), whose sum is σ = 507967488. Its totient is φ = 69676800.

The previous prime is 204024049. The next prime is 204024101. The reversal of 204024100 is 1420402.

It is not an unprimeable number, because it can be changed into a prime (204024101) 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, 267720 + ... + 268480.

It is an arithmetic number, because the mean of its divisors is an integer number (7055104).

Almost surely, 2^204024100 is an apocalyptic number.

204024100 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 204024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253983744).

204024100 is an abundant number, since it is smaller than the sum of its proper divisors (303943388).

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

204024100 is a wasteful number, since it uses less digits than its factorization.

204024100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 204024100 is about 14283.7005009206. The cubic root of 204024100 is about 588.6997123187.

Adding to 204024100 its reverse (1420402), we get a palindrome (205444502).

The spelling of 204024100 in words is "two hundred four million, twenty-four thousand, one hundred".