103601378559600 has 960 divisors, whose sum is σ = 394698556961280. Its totient is φ = 25718740992000.

The previous prime is 103601378559593. The next prime is 103601378559619. The reversal of 103601378559600 is 6955873106301.

103601378559600 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 0 + 13 + 78 + 559 + 6 + 0 + 0 = 666.

It is a super-3 number, since 3×103601378559600³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13771281439 + ... + 13771288961.

It is an arithmetic number, because the mean of its divisors is an integer number (411144330168).

Almost surely, 2^{103601378559600} is an apocalyptic number.

103601378559600 is a gapful number since it is divisible by the number (10) 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 103601378559600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197349278480640).

103601378559600 is an abundant number, since it is smaller than the sum of its proper divisors (291097178401680).

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

103601378559600 is a wasteful number, since it uses less digits than its factorization.

103601378559600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8375 (or 8358 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 103601378559600 in words is "one hundred three trillion, six hundred one billion, three hundred seventy-eight million, five hundred fifty-nine thousand, six hundred".