103411837975680 has 576 divisors, whose sum is σ = 387198887774400. Its totient is φ = 25420783804416.

The previous prime is 103411837975657. The next prime is 103411837975687. The reversal of 103411837975680 is 86579738114301.

103411837975680 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 118 + 379 + 75 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (103411837975687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 723194431 + ... + 723337409.

It is an arithmetic number, because the mean of its divisors is an integer number (672220291275).

Almost surely, 2^{103411837975680} is an apocalyptic number.

103411837975680 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 103411837975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193599443887200).

103411837975680 is an abundant number, since it is smaller than the sum of its proper divisors (283787049798720).

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

103411837975680 is a wasteful number, since it uses less digits than its factorization.

103411837975680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143773 (or 143745 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 103411837975680 in words is "one hundred three trillion, four hundred eleven billion, eight hundred thirty-seven million, nine hundred seventy-five thousand, six hundred eighty".