103866352128000 has 7488 divisors, whose sum is σ = 523568426434560. Its totient is φ = 19508428800000.

The previous prime is 103866352127987. The next prime is 103866352128053. The reversal of 103866352128000 is 821253668301.

103866352128000 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 6 + 635 + 2 + 1 + 2 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 575 ways as a sum of consecutive naturals, for example, 1462906367965 + ... + 1462906368035.

It is an arithmetic number, because the mean of its divisors is an integer number (69920997120).

Almost surely, 2^{103866352128000} is an apocalyptic number.

103866352128000 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 103866352128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261784213217280).

103866352128000 is an abundant number, since it is smaller than the sum of its proper divisors (419702074306560).

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

103866352128000 is a wasteful number, since it uses less digits than its factorization.

103866352128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 103866352128000 in words is "one hundred three trillion, eight hundred sixty-six billion, three hundred fifty-two million, one hundred twenty-eight thousand".