108768004056100 has 243 divisors, whose sum is σ = 246664103098329. Its totient is φ = 41629989139200.

The previous prime is 108768004056077. The next prime is 108768004056161. The reversal of 108768004056100 is 1650400867801.

The square root of 108768004056100 is 10429190.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 9410329275876 + 99357674780224 = 3067626^2 + 9967832^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 273974821102 + ... + 273974821498.

Almost surely, 2^{108768004056100} is an apocalyptic number.

108768004056100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

108768004056100 is the 10429190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108768004056100

108768004056100 is an abundant number, since it is smaller than the sum of its proper divisors (137896099042229).

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

108768004056100 is an frugal number, since it uses more digits than its factorization.

108768004056100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 46.

The spelling of 108768004056100 in words is "one hundred eight trillion, seven hundred sixty-eight billion, four million, fifty-six thousand, one hundred".