106680130182 has 96 divisors (see below), whose sum is σ = 240204496896. Its totient is φ = 34181784000.

The previous prime is 106680130181. The next prime is 106680130187. The reversal of 106680130182 is 281031086601.

It is a super-2 number, since 2×106680130182² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106680130181) 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 47 ways as a sum of consecutive naturals, for example, 87227623 + ... + 87228845.

It is an arithmetic number, because the mean of its divisors is an integer number (2502130176).

Almost surely, 2^106680130182 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106680130182, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120102248448).

106680130182 is an abundant number, since it is smaller than the sum of its proper divisors (133524366714).

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

106680130182 is a wasteful number, since it uses less digits than its factorization.

106680130182 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 106680130182 in words is "one hundred six billion, six hundred eighty million, one hundred thirty thousand, one hundred eighty-two".