205104420 has 96 divisors (see below), whose sum is σ = 647740800. Its totient is φ = 53868672.

The previous prime is 205104397. The next prime is 205104451. The reversal of 205104420 is 24401502.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 205104393 and 205104402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33346 + ... + 39014.

It is an arithmetic number, because the mean of its divisors is an integer number (6747300).

Almost surely, 2^205104420 is an apocalyptic number.

205104420 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 205104420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323870400).

205104420 is an abundant number, since it is smaller than the sum of its proper divisors (442636380).

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

205104420 is a wasteful number, since it uses less digits than its factorization.

205104420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5754 (or 5746 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 205104420 is about 14321.4671036176. The cubic root of 205104420 is about 589.7369506302.

Adding to 205104420 its reverse (24401502), we get a palindrome (229505922).

The spelling of 205104420 in words is "two hundred five million, one hundred four thousand, four hundred twenty".