103880936928 has 96 divisors (see below), whose sum is σ = 275974594560. Its totient is φ = 34211033600.

The previous prime is 103880936911. The next prime is 103880936963. The reversal of 103880936928 is 829639088301.

103880936928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×103880936928² (a number of 23 digits) contains 22 as substring.

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, 4633201 + ... + 4655567.

It is an arithmetic number, because the mean of its divisors is an integer number (2874735360).

Almost surely, 2^103880936928 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 103880936928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137987297280).

103880936928 is an abundant number, since it is smaller than the sum of its proper divisors (172093657632).

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

103880936928 is a wasteful number, since it uses less digits than its factorization.

103880936928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22960 (or 22952 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 103880936928 in words is "one hundred three billion, eight hundred eighty million, nine hundred thirty-six thousand, nine hundred twenty-eight".