103128768 has 112 divisors (see below), whose sum is σ = 311566560. Its totient is φ = 33426432.

The previous prime is 103128761. The next prime is 103128769. The reversal of 103128768 is 867821301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (103128761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63130 + ... + 64742.

Almost surely, 2^103128768 is an apocalyptic number.

103128768 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 103128768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155783280).

103128768 is an abundant number, since it is smaller than the sum of its proper divisors (208437792).

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

103128768 is a wasteful number, since it uses less digits than its factorization.

103128768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 103128768 is about 10155.2335275955. The cubic root of 103128768 is about 468.9500752303.

The spelling of 103128768 in words is "one hundred three million, one hundred twenty-eight thousand, seven hundred sixty-eight".