103905584640000 has 4680 divisors, whose sum is σ = 460833365568576. Its totient is φ = 22383820800000.

The previous prime is 103905584639947. The next prime is 103905584640001. The reversal of 103905584640000 is 46485509301.

103905584640000 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 0 + 5 + 584 + 64 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4680).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103905584640001) by changing a digit.

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 359 ways as a sum of consecutive naturals, for example, 1703370239970 + ... + 1703370240030.

Almost surely, 2^{103905584640000} is an apocalyptic number.

103905584640000 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 103905584640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230416682784288).

103905584640000 is an abundant number, since it is smaller than the sum of its proper divisors (356927780928576).

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

103905584640000 is a wasteful number, since it uses less digits than its factorization.

103905584640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 103905584640000 in words is "one hundred three trillion, nine hundred five billion, five hundred eighty-four million, six hundred forty thousand".