108132636672 has 144 divisors (see below), whose sum is σ = 315344549520. Its totient is φ = 35693641728.

The previous prime is 108132636671. The next prime is 108132636691. The reversal of 108132636672 is 276636231801.

108132636672 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 3 + 2 + 636 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×108132636672² (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 (108132636671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1870018 + ... + 1926974.

It is an arithmetic number, because the mean of its divisors is an integer number (2189892705).

Almost surely, 2^108132636672 is an apocalyptic number.

108132636672 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 108132636672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157672274760).

108132636672 is an abundant number, since it is smaller than the sum of its proper divisors (207211912848).

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

108132636672 is a wasteful number, since it uses less digits than its factorization.

108132636672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57088 (or 57065 counting only the distinct ones).

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

The spelling of 108132636672 in words is "one hundred eight billion, one hundred thirty-two million, six hundred thirty-six thousand, six hundred seventy-two".