107703871258368 has 576 divisors, whose sum is σ = 376304007905280. Its totient is φ = 26494669209600.

The previous prime is 107703871258327. The next prime is 107703871258409. The reversal of 107703871258368 is 863852178307701.

It is an interprime number because it is at equal distance from previous prime (107703871258327) and next prime (107703871258409).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 107703871258299 and 107703871258308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4293201921 + ... + 4293227007.

It is an arithmetic number, because the mean of its divisors is an integer number (653305569280).

Almost surely, 2^{107703871258368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107703871258368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188152003952640).

107703871258368 is an abundant number, since it is smaller than the sum of its proper divisors (268600136646912).

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

107703871258368 is a wasteful number, since it uses less digits than its factorization.

107703871258368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28964 (or 28950 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 66.

The spelling of 107703871258368 in words is "one hundred seven trillion, seven hundred three billion, eight hundred seventy-one million, two hundred fifty-eight thousand, three hundred sixty-eight".