103171471603200 has 8640 divisors, whose sum is σ = 550210909248000. Its totient is φ = 18142838784000.

The previous prime is 103171471603153. The next prime is 103171471603201. The reversal of 103171471603200 is 2306174171301.

It is a happy number.

103171471603200 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 7 + 1 + 47 + 1 + 603 + 2 + 0 + 0 = 666.

It is a super-3 number, since 3×103171471603200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103171471603201) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 3328111987185 + ... + 3328111987215.

It is an arithmetic number, because the mean of its divisors is an integer number (63681818200).

Almost surely, 2^{103171471603200} is an apocalyptic number.

103171471603200 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 103171471603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275105454624000).

103171471603200 is an abundant number, since it is smaller than the sum of its proper divisors (447039437644800).

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

103171471603200 is a wasteful number, since it uses less digits than its factorization.

103171471603200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 103171471603200 in words is "one hundred three trillion, one hundred seventy-one billion, four hundred seventy-one million, six hundred three thousand, two hundred".