105661466436322 has 8 divisors (see below), whose sum is σ = 166833894373200. Its totient is φ = 50050168311924.

The previous prime is 105661466436283. The next prime is 105661466436329. The reversal of 105661466436322 is 223634664166501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×105661466436322² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105661466436329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1390282453072 + ... + 1390282453147.

It is an arithmetic number, because the mean of its divisors is an integer number (20854236796650).

Almost surely, 2^{105661466436322} is an apocalyptic number.

105661466436322 is a deficient number, since it is larger than the sum of its proper divisors (61172427936878).

105661466436322 is a wasteful number, since it uses less digits than its factorization.

105661466436322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780564906240.

The product of its (nonzero) digits is 22394880, while the sum is 55.

The spelling of 105661466436322 in words is "one hundred five trillion, six hundred sixty-one billion, four hundred sixty-six million, four hundred thirty-six thousand, three hundred twenty-two".