106005005060112 has 240 divisors, whose sum is σ = 301163683748928. Its totient is φ = 34802107591680.

The previous prime is 106005005060111. The next prime is 106005005060137. The reversal of 106005005060112 is 211060500500601.

It is a happy number.

106005005060112 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 0 + 5 + 0 + 0 + 50 + 601 + 1 + 2 = 666.

It is a super-2 number, since 2×106005005060112² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106005005060111) 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 47 ways as a sum of consecutive naturals, for example, 10453106562 + ... + 10453116702.

Almost surely, 2^{106005005060112} is an apocalyptic number.

106005005060112 is a gapful number since it is divisible by the number (12) 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 106005005060112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150581841874464).

106005005060112 is an abundant number, since it is smaller than the sum of its proper divisors (195158678688816).

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

106005005060112 is a wasteful number, since it uses less digits than its factorization.

106005005060112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12838 (or 12829 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 106005005060112 its reverse (211060500500601), we get a palindrome (317065505560713).

The spelling of 106005005060112 in words is "one hundred six trillion, five billion, five million, sixty thousand, one hundred twelve".