103872059648 has 108 divisors (see below), whose sum is σ = 241470403020. Its totient is φ = 44464766976.

The previous prime is 103872059581. The next prime is 103872059701. The reversal of 103872059648 is 846950278301.

It can be written as a sum of positive squares in 2 ways, for example, as 71113955584 + 32758104064 = 266672^2 + 180992^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 103872059648.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11950088 + ... + 11958776.

It is an arithmetic number, because the mean of its divisors is an integer number (2235837065).

It is a 1-persistent number, because it is pandigital, but 2⋅103872059648 = 207744119296 is not.

Almost surely, 2^103872059648 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 103872059648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120735201510).

103872059648 is an abundant number, since it is smaller than the sum of its proper divisors (137598343372).

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

103872059648 is an frugal number, since it uses more digits than its factorization.

103872059648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9672 (or 9651 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 103872059648 in words is "one hundred three billion, eight hundred seventy-two million, fifty-nine thousand, six hundred forty-eight".