106006005060 has 96 divisors (see below), whose sum is σ = 301560470400. Its totient is φ = 27817371648.

The previous prime is 106006005047. The next prime is 106006005067. The reversal of 106006005060 is 60500600601.

It is a super-2 number, since 2×106006005060² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106006005060.

It is not an unprimeable number, because it can be changed into a prime (106006005067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3994716 + ... + 4021164.

It is an arithmetic number, because the mean of its divisors is an integer number (3141254900).

Almost surely, 2^106006005060 is an apocalyptic number.

106006005060 is a gapful number since it is divisible by the number (10) 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 106006005060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150780235200).

106006005060 is an abundant number, since it is smaller than the sum of its proper divisors (195554465340).

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

106006005060 is a wasteful number, since it uses less digits than its factorization.

106006005060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27525 (or 27523 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 106006005060 its reverse (60500600601), we get a palindrome (166506605661).

The spelling of 106006005060 in words is "one hundred six billion, six million, five thousand, sixty".