103831371271680 has 640 divisors, whose sum is σ = 369204129423360. Its totient is φ = 24720390881280.

The previous prime is 103831371271673. The next prime is 103831371271717. The reversal of 103831371271680 is 86172173138301.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6310778334 + ... + 6310794786.

It is an arithmetic number, because the mean of its divisors is an integer number (576881452224).

Almost surely, 2^{103831371271680} is an apocalyptic number.

103831371271680 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 103831371271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184602064711680).

103831371271680 is an abundant number, since it is smaller than the sum of its proper divisors (265372758151680).

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

103831371271680 is a wasteful number, since it uses less digits than its factorization.

103831371271680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18562 (or 18546 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 103831371271680 in words is "one hundred three trillion, eight hundred thirty-one billion, three hundred seventy-one million, two hundred seventy-one thousand, six hundred eighty".