106786131228 has 72 divisors (see below), whose sum is σ = 311547731040. Its totient is φ = 30208233600.

The previous prime is 106786131211. The next prime is 106786131259. The reversal of 106786131228 is 822131687601.

106786131228 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 8 + 613 + 1 + 2 + 28 = 666.

106786131228 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106786131228² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2072343 + ... + 2123246.

It is an arithmetic number, because the mean of its divisors is an integer number (4327051820).

Almost surely, 2^106786131228 is an apocalyptic number.

106786131228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106786131228 is an abundant number, since it is smaller than the sum of its proper divisors (204761599812).

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

106786131228 is a wasteful number, since it uses less digits than its factorization.

106786131228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195707 (or 4195702 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 106786131228 in words is "one hundred six billion, seven hundred eighty-six million, one hundred thirty-one thousand, two hundred twenty-eight".