103788268128 has 144 divisors (see below), whose sum is σ = 302116651200. Its totient is φ = 33782611968.

The previous prime is 103788268121. The next prime is 103788268139. The reversal of 103788268128 is 821862887301.

103788268128 is a `hidden beast` number, since 1 + 0 + 378 + 8 + 268 + 1 + 2 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103788268121) 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 23 ways as a sum of consecutive naturals, for example, 6069126 + ... + 6086202.

It is an arithmetic number, because the mean of its divisors is an integer number (2098032300).

Almost surely, 2^103788268128 is an apocalyptic number.

103788268128 is a gapful number since it is divisible by the number (18) 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 103788268128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151058325600).

103788268128 is an abundant number, since it is smaller than the sum of its proper divisors (198328383072).

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

103788268128 is a wasteful number, since it uses less digits than its factorization.

103788268128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17589 (or 17578 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 103788268128 in words is "one hundred three billion, seven hundred eighty-eight million, two hundred sixty-eight thousand, one hundred twenty-eight".