105605066656 has 96 divisors (see below), whose sum is σ = 214194818880. Its totient is φ = 51233796096.

The previous prime is 105605066641. The next prime is 105605066717. The reversal of 105605066656 is 656660506501.

It is a super-2 number, since 2×105605066656² (a number of 23 digits) contains 22 as substring.

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, 59095395 + ... + 59097181.

It is an arithmetic number, because the mean of its divisors is an integer number (2231196030).

Almost surely, 2^105605066656 is an apocalyptic number.

105605066656 is a gapful number since it is divisible by the number (16) 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 105605066656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107097409440).

105605066656 is an abundant number, since it is smaller than the sum of its proper divisors (108589752224).

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

105605066656 is a wasteful number, since it uses less digits than its factorization.

105605066656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 46.

The spelling of 105605066656 in words is "one hundred five billion, six hundred five million, sixty-six thousand, six hundred fifty-six".