103728000512 has 160 divisors (see below), whose sum is σ = 225210585600. Its totient is φ = 47565619200.

The previous prime is 103728000511. The next prime is 103728000539. The reversal of 103728000512 is 215000827301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103728000511) 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, 55438937 + ... + 55440807.

It is an arithmetic number, because the mean of its divisors is an integer number (1407566160).

Almost surely, 2^103728000512 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 103728000512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112605292800).

103728000512 is an abundant number, since it is smaller than the sum of its proper divisors (121482585088).

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

103728000512 is a wasteful number, since it uses less digits than its factorization.

103728000512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

Adding to 103728000512 its reverse (215000827301), we get a palindrome (318728827813).

The spelling of 103728000512 in words is "one hundred three billion, seven hundred twenty-eight million, five hundred twelve", and thus it is an aban number.