105665156404365 has 32 divisors (see below), whose sum is σ = 169436002116096. Its totient is φ = 56230842286080.

The previous prime is 105665156404267. The next prime is 105665156404393. The reversal of 105665156404365 is 563404651566501.

It is not a de Polignac number, because 105665156404365 - 2⁷ = 105665156404237 is a prime.

It is a super-2 number, since 2×105665156404365² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 186405547 + ... + 186971543.

It is an arithmetic number, because the mean of its divisors is an integer number (5294875066128).

Almost surely, 2^{105665156404365} is an apocalyptic number.

105665156404365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105665156404365 is a deficient number, since it is larger than the sum of its proper divisors (63770845711731).

105665156404365 is a wasteful number, since it uses less digits than its factorization.

105665156404365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593349.

The product of its (nonzero) digits is 38880000, while the sum is 57.

The spelling of 105665156404365 in words is "one hundred five trillion, six hundred sixty-five billion, one hundred fifty-six million, four hundred four thousand, three hundred sixty-five".