105260445265665 has 32 divisors (see below), whose sum is σ = 179777661926400. Its totient is φ = 52435151375040.

The previous prime is 105260445265607. The next prime is 105260445265667. The reversal of 105260445265665 is 566562544062501.

It is not a de Polignac number, because 105260445265665 - 2⁷ = 105260445265537 is a prime.

It is a super-4 number, since 4×105260445265665⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (105260445265667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2600929735 + ... + 2600970204.

It is an arithmetic number, because the mean of its divisors is an integer number (5618051935200).

Almost surely, 2^{105260445265665} is an apocalyptic number.

105260445265665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105260445265665 is a deficient number, since it is larger than the sum of its proper divisors (74517216660735).

105260445265665 is a wasteful number, since it uses less digits than its factorization.

105260445265665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5201900037.

The product of its (nonzero) digits is 51840000, while the sum is 57.

The spelling of 105260445265665 in words is "one hundred five trillion, two hundred sixty billion, four hundred forty-five million, two hundred sixty-five thousand, six hundred sixty-five".