103728799872 has 192 divisors, whose sum is σ = 313020466200. Its totient is φ = 32925892608.

The previous prime is 103728799831. The next prime is 103728799897. The reversal of 103728799872 is 278997827301.

It can be written as a sum of positive squares in 4 ways, for example, as 84625137216 + 19103662656 = 290904^2 + 138216^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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, 2417518 + ... + 2460050.

Almost surely, 2^103728799872 is an apocalyptic number.

103728799872 is a gapful number since it is divisible by the number (12) 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 103728799872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156510233100).

103728799872 is an abundant number, since it is smaller than the sum of its proper divisors (209291666328).

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

103728799872 is a wasteful number, since it uses less digits than its factorization.

103728799872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42655 (or 42640 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 103728799872 in words is "one hundred three billion, seven hundred twenty-eight million, seven hundred ninety-nine thousand, eight hundred seventy-two".