103530578538336 has 192 divisors, whose sum is σ = 277180247393280. Its totient is φ = 33830022021120.

The previous prime is 103530578538301. The next prime is 103530578538389. The reversal of 103530578538336 is 633835875035301.

It is a self number, because there is not a number n which added to its sum of digits gives 103530578538336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 598283506 + ... + 598456526.

It is an arithmetic number, because the mean of its divisors is an integer number (1443647121840).

Almost surely, 2^{103530578538336} is an apocalyptic number.

103530578538336 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 103530578538336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138590123696640).

103530578538336 is an abundant number, since it is smaller than the sum of its proper divisors (173649668854944).

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

103530578538336 is a wasteful number, since it uses less digits than its factorization.

103530578538336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173677 (or 173669 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 60.

The spelling of 103530578538336 in words is "one hundred three trillion, five hundred thirty billion, five hundred seventy-eight million, five hundred thirty-eight thousand, three hundred thirty-six".