106682736132 has 36 divisors (see below), whose sum is σ = 308194571776. Its totient is φ = 30480781680.

The previous prime is 106682736107. The next prime is 106682736133. The reversal of 106682736132 is 231637286601.

106682736132 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 8 + 27 + 3 + 613 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106682736132² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106682736133) 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 11 ways as a sum of consecutive naturals, for example, 211671844 + ... + 211672347.

Almost surely, 2^106682736132 is an apocalyptic number.

106682736132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106682736132 is an abundant number, since it is smaller than the sum of its proper divisors (201511835644).

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

106682736132 is a wasteful number, since it uses less digits than its factorization.

106682736132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423344208 (or 423344203 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 106682736132 in words is "one hundred six billion, six hundred eighty-two million, seven hundred thirty-six thousand, one hundred thirty-two".