105365456255 has 16 divisors (see below), whose sum is σ = 138492529920. Its totient is φ = 76598333952.

The previous prime is 105365456227. The next prime is 105365456263. The reversal of 105365456255 is 552654563501.

It is a cyclic number.

It is not a de Polignac number, because 105365456255 - 2²⁴ = 105348679039 is a prime.

It is a super-2 number, since 2×105365456255² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21369839 + ... + 21374768.

It is an arithmetic number, because the mean of its divisors is an integer number (8655783120).

Almost surely, 2^105365456255 is an apocalyptic number.

105365456255 is a deficient number, since it is larger than the sum of its proper divisors (33127073665).

105365456255 is a wasteful number, since it uses less digits than its factorization.

105365456255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42744658.

The product of its (nonzero) digits is 2700000, while the sum is 47.

The spelling of 105365456255 in words is "one hundred five billion, three hundred sixty-five million, four hundred fifty-six thousand, two hundred fifty-five".