103643703985536 has 2304 divisors, whose sum is σ = 383218558894080. Its totient is φ = 27605272780800.

The previous prime is 103643703985531. The next prime is 103643703985561. The reversal of 103643703985536 is 635589307346301.

103643703985536 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 4 + 3 + 7 + 0 + 3 + 98 + 5 + 536 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103643703985531) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 120096991441 + ... + 120096992303.

It is an arithmetic number, because the mean of its divisors is an integer number (166327499520).

Almost surely, 2^{103643703985536} is an apocalyptic number.

103643703985536 is a gapful number since it is divisible by the number (16) 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 103643703985536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191609279447040).

103643703985536 is an abundant number, since it is smaller than the sum of its proper divisors (279574854908544).

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

103643703985536 is a wasteful number, since it uses less digits than its factorization.

103643703985536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 63.

The spelling of 103643703985536 in words is "one hundred three trillion, six hundred forty-three billion, seven hundred three million, nine hundred eighty-five thousand, five hundred thirty-six".