105665601066 has 64 divisors (see below), whose sum is σ = 220686336000. Its totient is φ = 33704925696.

The previous prime is 105665601043. The next prime is 105665601071. The reversal of 105665601066 is 660106566501.

It is a super-2 number, since 2×105665601066² (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 31 ways as a sum of consecutive naturals, for example, 2271610 + ... + 2317658.

It is an arithmetic number, because the mean of its divisors is an integer number (3448224000).

Almost surely, 2^105665601066 is an apocalyptic number.

105665601066 is an abundant number, since it is smaller than the sum of its proper divisors (115020734934).

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

105665601066 is a wasteful number, since it uses less digits than its factorization.

105665601066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46283.

The product of its (nonzero) digits is 194400, while the sum is 42.

The spelling of 105665601066 in words is "one hundred five billion, six hundred sixty-five million, six hundred one thousand, sixty-six".