105566561616064 has 14 divisors (see below), whose sum is σ = 209483645707004. Its totient is φ = 52783280808000.

The previous prime is 105566561616049. The next prime is 105566561616077. The reversal of 105566561616064 is 460616165665501.

It is a happy number.

It is a super-2 number, since 2×105566561616064² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 824738762562 + ... + 824738762689.

Almost surely, 2^{105566561616064} is an apocalyptic number.

It is an amenable number.

105566561616064 is a deficient number, since it is larger than the sum of its proper divisors (103917084090940).

105566561616064 is an equidigital number, since it uses as much as digits as its factorization.

105566561616064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649477525263 (or 1649477525253 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 58.

The spelling of 105566561616064 in words is "one hundred five trillion, five hundred sixty-six billion, five hundred sixty-one million, six hundred sixteen thousand, sixty-four".