103892048128 has 216 divisors, whose sum is σ = 233921034144. Its totient is φ = 46003077120.

The previous prime is 103892048077. The next prime is 103892048219. The reversal of 103892048128 is 821840298301.

It is an unprimeable number.

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, 234519075 + ... + 234519517.

Almost surely, 2^103892048128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103892048128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116960517072).

103892048128 is an abundant number, since it is smaller than the sum of its proper divisors (130028986016).

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

103892048128 is a wasteful number, since it uses less digits than its factorization.

103892048128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

The spelling of 103892048128 in words is "one hundred three billion, eight hundred ninety-two million, forty-eight thousand, one hundred twenty-eight".