103728384 has 144 divisors (see below), whose sum is σ = 314776000. Its totient is φ = 33675264.

The previous prime is 103728377. The next prime is 103728403. The reversal of 103728384 is 483827301.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297042 + ... + 297390.

Almost surely, 2^103728384 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 103728384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157388000).

103728384 is an abundant number, since it is smaller than the sum of its proper divisors (211047616).

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

103728384 is an equidigital number, since it uses as much as digits as its factorization.

103728384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 103728384 is about 10184.7132507499. The cubic root of 103728384 is about 469.8571831049.

The spelling of 103728384 in words is "one hundred three million, seven hundred twenty-eight thousand, three hundred eighty-four".