105368820768080 has 80 divisors (see below), whose sum is σ = 245148433158288. Its totient is φ = 42118990848000.

The previous prime is 105368820768073. The next prime is 105368820768091. The reversal of 105368820768080 is 80867028863501.

105368820768080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 15672540828736 + 89696279939344 = 3958856^2 + 9470812^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105368820768080² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 810333470 + ... + 810463490.

Almost surely, 2^{105368820768080} is an apocalyptic number.

105368820768080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105368820768080 is an abundant number, since it is smaller than the sum of its proper divisors (139779612390208).

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

105368820768080 is a wasteful number, since it uses less digits than its factorization.

105368820768080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136816 (or 136810 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 62.

The spelling of 105368820768080 in words is "one hundred five trillion, three hundred sixty-eight billion, eight hundred twenty million, seven hundred sixty-eight thousand, eighty".