103663387975680 has 3360 divisors, whose sum is σ = 430574509998864. Its totient is φ = 23696769024000.

The previous prime is 103663387975673. The next prime is 103663387975691. The reversal of 103663387975680 is 86579783366301.

103663387975680 is a `hidden beast` number, since 1 + 0 + 36 + 6 + 3 + 387 + 97 + 56 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 436487491584 + 103226900484096 = 660672^2 + 10160064^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 103663387975599 and 103663387975608.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1699399802850 + ... + 1699399802910.

Almost surely, 2^{103663387975680} is an apocalyptic number.

103663387975680 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 103663387975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215287254999432).

103663387975680 is an abundant number, since it is smaller than the sum of its proper divisors (326911122023184).

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

103663387975680 is an equidigital number, since it uses as much as digits as its factorization.

103663387975680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 823011840, while the sum is 72.

The spelling of 103663387975680 in words is "one hundred three trillion, six hundred sixty-three billion, three hundred eighty-seven million, nine hundred seventy-five thousand, six hundred eighty".