103638078730080 has 144 divisors (see below), whose sum is σ = 357638707520640. Its totient is φ = 27326294882304.

The previous prime is 103638078730013. The next prime is 103638078730091. The reversal of 103638078730080 is 80037870836301.

103638078730080 is a `hidden beast` number, since 103 + 6 + 3 + 80 + 7 + 87 + 300 + 80 = 666.

103638078730080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×103638078730080³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103638078729999 and 103638078730026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404202672 + ... + 404458991.

It is an arithmetic number, because the mean of its divisors is an integer number (2483602135560).

Almost surely, 2^{103638078730080} is an apocalyptic number.

103638078730080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103638078730080 is an abundant number, since it is smaller than the sum of its proper divisors (254000628790560).

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

103638078730080 is a wasteful number, since it uses less digits than its factorization.

103638078730080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808661773 (or 808661762 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 103638078730080 in words is "one hundred three trillion, six hundred thirty-eight billion, seventy-eight million, seven hundred thirty thousand, eighty".