205420100424 has 256 divisors, whose sum is σ = 650011392000. Its totient is φ = 52548925440.

The previous prime is 205420100407. The next prime is 205420100497. The reversal of 205420100424 is 424001024502.

It is a happy number.

205420100424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 205420100394 and 205420100403.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44240647 + ... + 44245289.

It is an arithmetic number, because the mean of its divisors is an integer number (2539107000).

Almost surely, 2^205420100424 is an apocalyptic number.

205420100424 is a gapful number since it is divisible by the number (24) 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 205420100424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325005696000).

205420100424 is an abundant number, since it is smaller than the sum of its proper divisors (444591291576).

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

205420100424 is a wasteful number, since it uses less digits than its factorization.

205420100424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5028 (or 5024 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 205420100424 its reverse (424001024502), we get a palindrome (629421124926).

The spelling of 205420100424 in words is "two hundred five billion, four hundred twenty million, one hundred thousand, four hundred twenty-four".