105505765600765 has 8 divisors (see below), whose sum is σ = 126623628139320. Its totient is φ = 84393472868352.

The previous prime is 105505765600757. The next prime is 105505765600831. The reversal of 105505765600765 is 567006567505501.

It can be written as a sum of positive squares in 4 ways, for example, as 3702226229689 + 101803539371076 = 1924117^2 + 10089774^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105505765600765 - 2³ = 105505765600757 is a prime.

It is a super-2 number, since 2×105505765600765² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1392409860 + ... + 1392485629.

It is an arithmetic number, because the mean of its divisors is an integer number (15827953517415).

Almost surely, 2^{105505765600765} is an apocalyptic number.

It is an amenable number.

105505765600765 is a deficient number, since it is larger than the sum of its proper divisors (21117862538555).

105505765600765 is an equidigital number, since it uses as much as digits as its factorization.

105505765600765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784903071.

The product of its (nonzero) digits is 33075000, while the sum is 58.

The spelling of 105505765600765 in words is "one hundred five trillion, five hundred five billion, seven hundred sixty-five million, six hundred thousand, seven hundred sixty-five".