103271711150080 has 832 divisors, whose sum is σ = 289625791795200. Its totient is φ = 34930698485760.

The previous prime is 103271711149973. The next prime is 103271711150149. The reversal of 103271711150080 is 80051117172301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 223049051929 + ... + 223049052391.

Almost surely, 2^{103271711150080} is an apocalyptic number.

103271711150080 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 103271711150080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144812895897600).

103271711150080 is an abundant number, since it is smaller than the sum of its proper divisors (186354080645120).

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

103271711150080 is a wasteful number, since it uses less digits than its factorization.

103271711150080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 37.

The spelling of 103271711150080 in words is "one hundred three trillion, two hundred seventy-one billion, seven hundred eleven million, one hundred fifty thousand, eighty".