103681768531968 has 864 divisors, whose sum is σ = 359185018308480. Its totient is φ = 29569841233920.

The previous prime is 103681768531963. The next prime is 103681768531969. The reversal of 103681768531968 is 869135867186301.

103681768531968 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 8 + 176 + 85 + 319 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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 = 103681768531896 and 103681768531905.

It is not an unprimeable number, because it can be changed into a prime (103681768531963) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2512684905 + ... + 2512726167.

It is an arithmetic number, because the mean of its divisors is an integer number (415723400820).

Almost surely, 2^{103681768531968} is an apocalyptic number.

103681768531968 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 103681768531968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179592509154240).

103681768531968 is an abundant number, since it is smaller than the sum of its proper divisors (255503249776512).

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

103681768531968 is an frugal number, since it uses more digits than its factorization.

103681768531968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41337 (or 41296 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 103681768531968 in words is "one hundred three trillion, six hundred eighty-one billion, seven hundred sixty-eight million, five hundred thirty-one thousand, nine hundred sixty-eight".