103678763328 has 336 divisors, whose sum is σ = 361009509120. Its totient is φ = 27771420672.

The previous prime is 103678763327. The next prime is 103678763339. The reversal of 103678763328 is 823367876301.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103678763327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18435525 + ... + 18441147.

Almost surely, 2^103678763328 is an apocalyptic number.

103678763328 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 103678763328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180504754560).

103678763328 is an abundant number, since it is smaller than the sum of its proper divisors (257330745792).

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

103678763328 is a wasteful number, since it uses less digits than its factorization.

103678763328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5934 (or 5921 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 103678763328 in words is "one hundred three billion, six hundred seventy-eight million, seven hundred sixty-three thousand, three hundred twenty-eight".