105609772768672 has 192 divisors, whose sum is σ = 227211360768000. Its totient is φ = 48129780206592.

The previous prime is 105609772768649. The next prime is 105609772768673. The reversal of 105609772768672 is 276867277906501.

It is a super-2 number, since 2×105609772768672² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105609772768595 and 105609772768604.

It is not an unprimeable number, because it can be changed into a prime (105609772768673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8845774479 + ... + 8845786417.

It is an arithmetic number, because the mean of its divisors is an integer number (1183392504000).

Almost surely, 2^{105609772768672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105609772768672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113605680384000).

105609772768672 is an abundant number, since it is smaller than the sum of its proper divisors (121601587999328).

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

105609772768672 is a wasteful number, since it uses less digits than its factorization.

105609772768672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13731 (or 13723 counting only the distinct ones).

The product of its (nonzero) digits is 746807040, while the sum is 73.

The spelling of 105609772768672 in words is "one hundred five trillion, six hundred nine billion, seven hundred seventy-two million, seven hundred sixty-eight thousand, six hundred seventy-two".