103825768128 has 168 divisors, whose sum is σ = 296406173760. Its totient is φ = 31985510400.

The previous prime is 103825768099. The next prime is 103825768133. The reversal of 103825768128 is 821867528301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6123823 + ... + 6140753.

Almost surely, 2^103825768128 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 103825768128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148203086880).

103825768128 is an abundant number, since it is smaller than the sum of its proper divisors (192580405632).

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

103825768128 is a wasteful number, since it uses less digits than its factorization.

103825768128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17047 (or 16996 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 103825768128 in words is "one hundred three billion, eight hundred twenty-five million, seven hundred sixty-eight thousand, one hundred twenty-eight".