205542120 has 128 divisors (see below), whose sum is σ = 709171200. Its totient is φ = 46684416.

The previous prime is 205542119. The next prime is 205542149. The reversal of 205542120 is 21245502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 149677 + ... + 151043.

It is an arithmetic number, because the mean of its divisors is an integer number (5540400).

Almost surely, 2^205542120 is an apocalyptic number.

205542120 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 205542120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354585600).

205542120 is an abundant number, since it is smaller than the sum of its proper divisors (503629080).

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

205542120 is a wasteful number, since it uses less digits than its factorization.

205542120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 205542120 is about 14336.7402152651. The cubic root of 205542120 is about 590.1561589904.

Adding to 205542120 its reverse (21245502), we get a palindrome (226787622).

The spelling of 205542120 in words is "two hundred five million, five hundred forty-two thousand, one hundred twenty".