103591872304128 has 1408 divisors, whose sum is σ = 349278605168640. Its totient is φ = 30110184898560.

The previous prime is 103591872304093. The next prime is 103591872304153. The reversal of 103591872304128 is 821403278195301.

103591872304128 is a `hidden beast` number, since 1 + 0 + 3 + 591 + 8 + 7 + 2 + 3 + 0 + 41 + 2 + 8 = 666.

It is a super-3 number, since 3×103591872304128³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 170662062801 + ... + 170662063407.

Almost surely, 2^{103591872304128} is an apocalyptic number.

103591872304128 is a gapful number since it is divisible by the number (18) 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 103591872304128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174639302584320).

103591872304128 is an abundant number, since it is smaller than the sum of its proper divisors (245686732864512).

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

103591872304128 is a wasteful number, since it uses less digits than its factorization.

103591872304128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 103591872304128 in words is "one hundred three trillion, five hundred ninety-one billion, eight hundred seventy-two million, three hundred four thousand, one hundred twenty-eight".