103928832000000 has 2380 divisors, whose sum is σ = 446045287422240. Its totient is φ = 23622451200000.

The previous prime is 103928831999957. The next prime is 103928832000013. The reversal of 103928832000000 is 238829301.

It is a happy number.

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 139 ways as a sum of consecutive naturals, for example, 580607999911 + ... + 580608000089.

Almost surely, 2^{103928832000000} is an apocalyptic number.

103928832000000 is a gapful number since it is divisible by the number (10) 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 103928832000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223022643711120).

103928832000000 is an abundant number, since it is smaller than the sum of its proper divisors (342116455422240).

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

103928832000000 is an frugal number, since it uses more digits than its factorization.

103928832000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 103928832000000 in words is "one hundred three trillion, nine hundred twenty-eight billion, eight hundred thirty-two million", and thus it is an aban number.