103271193792 has 756 divisors, whose sum is σ = 356261074624. Its totient is φ = 28399472640.

The previous prime is 103271193743. The next prime is 103271193811. The reversal of 103271193792 is 297391172301.

103271193792 is a `hidden beast` number, since 1 + 0 + 3 + 271 + 1 + 9 + 379 + 2 = 666.

103271193792 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3331328817 + ... + 3331328847.

Almost surely, 2^103271193792 is an apocalyptic number.

103271193792 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 103271193792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178130537312).

103271193792 is an abundant number, since it is smaller than the sum of its proper divisors (252989880832).

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

103271193792 is a wasteful number, since it uses less digits than its factorization.

103271193792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The spelling of 103271193792 in words is "one hundred three billion, two hundred seventy-one million, one hundred ninety-three thousand, seven hundred ninety-two".