105665551616565 has 12 divisors (see below), whose sum is σ = 183153622802124. Its totient is φ = 56354960862144.

The previous prime is 105665551616551. The next prime is 105665551616621. The reversal of 105665551616565 is 565616155566501.

105665551616565 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 6 + 5 + 5 + 5 + 1 + 61 + 6 + 565 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67449936009681 + 38215615606884 = 8212791^2 + 6181878^2 .

It is not a de Polignac number, because 105665551616565 - 2¹² = 105665551612469 is a prime.

It is a super-3 number, since 3×105665551616565³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1174061684584 + ... + 1174061684673.

It is an arithmetic number, because the mean of its divisors is an integer number (15262801900177).

Almost surely, 2^{105665551616565} is an apocalyptic number.

105665551616565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105665551616565 is a deficient number, since it is larger than the sum of its proper divisors (77488071185559).

105665551616565 is a wasteful number, since it uses less digits than its factorization.

105665551616565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348123369268 (or 2348123369265 counting only the distinct ones).

The product of its (nonzero) digits is 121500000, while the sum is 63.

The spelling of 105665551616565 in words is "one hundred five trillion, six hundred sixty-five billion, five hundred fifty-one million, six hundred sixteen thousand, five hundred sixty-five".