105661360033632 has 432 divisors, whose sum is σ = 327887831325600. Its totient is φ = 32260156710912.

The previous prime is 105661360033597. The next prime is 105661360033651. The reversal of 105661360033632 is 236330063166501.

105661360033632 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 6 + 1 + 3 + 6 + 0 + 0 + 3 + 3 + 632 = 666.

It is a super-2 number, since 2×105661360033632² (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 71 ways as a sum of consecutive naturals, for example, 3322772869 + ... + 3322804667.

It is an arithmetic number, because the mean of its divisors is an integer number (758999609550).

Almost surely, 2^{105661360033632} is an apocalyptic number.

105661360033632 is a gapful number since it is divisible by the number (12) 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 105661360033632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163943915662800).

105661360033632 is an abundant number, since it is smaller than the sum of its proper divisors (222226471291968).

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

105661360033632 is a wasteful number, since it uses less digits than its factorization.

105661360033632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32367 (or 32343 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 45.

The spelling of 105661360033632 in words is "one hundred five trillion, six hundred sixty-one billion, three hundred sixty million, thirty-three thousand, six hundred thirty-two".