205100004450 has 192 divisors, whose sum is σ = 558313979904. Its totient is φ = 49415520000.

The previous prime is 205100004419. The next prime is 205100004457. The reversal of 205100004450 is 54400001502.

205100004450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (205100004457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 310287120 + ... + 310287780.

It is an arithmetic number, because the mean of its divisors is an integer number (2907885312).

Almost surely, 2^205100004450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205100004450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279156989952).

205100004450 is an abundant number, since it is smaller than the sum of its proper divisors (353213975454).

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

205100004450 is a wasteful number, since it uses less digits than its factorization.

205100004450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1556 counting only the distinct ones).

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

Adding to 205100004450 its reverse (54400001502), we get a palindrome (259500005952).

The spelling of 205100004450 in words is "two hundred five billion, one hundred million, four thousand, four hundred fifty".