20105412106020 has 192 divisors, whose sum is σ = 57940210814976. Its totient is φ = 5206651591680.

The previous prime is 20105412105991. The next prime is 20105412106123. The reversal of 20105412106020 is 2060121450102.

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, 283574775 + ... + 283645665.

It is an arithmetic number, because the mean of its divisors is an integer number (301771931328).

Almost surely, 2^{20105412106020} is an apocalyptic number.

20105412106020 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 20105412106020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28970105407488).

20105412106020 is an abundant number, since it is smaller than the sum of its proper divisors (37834798708956).

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

20105412106020 is a wasteful number, since it uses less digits than its factorization.

20105412106020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71730 (or 71728 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 20105412106020 its reverse (2060121450102), we get a palindrome (22165533556122).

The spelling of 20105412106020 in words is "twenty trillion, one hundred five billion, four hundred twelve million, one hundred six thousand, twenty".