108128008638 has 72 divisors (see below), whose sum is σ = 262432914120. Its totient is φ = 32122883520.

The previous prime is 108128008631. The next prime is 108128008657. The reversal of 108128008638 is 836800821801.

108128008638 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 2 + 8 + 0 + 0 + 8 + 638 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 108128008593 and 108128008602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108128008631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 524628 + ... + 701063.

It is an arithmetic number, because the mean of its divisors is an integer number (3644901585).

Almost surely, 2^108128008638 is an apocalyptic number.

108128008638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

108128008638 is an abundant number, since it is smaller than the sum of its proper divisors (154304905482).

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

108128008638 is a wasteful number, since it uses less digits than its factorization.

108128008638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225754 (or 1225738 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 108128008638 in words is "one hundred eight billion, one hundred twenty-eight million, eight thousand, six hundred thirty-eight".