105256113435305 has 64 divisors (see below), whose sum is σ = 145932637713408. Its totient is φ = 71386706903040.

The previous prime is 105256113435281. The next prime is 105256113435307. The reversal of 105256113435305 is 503534311652501.

It is not a de Polignac number, because 105256113435305 - 2¹⁰ = 105256113434281 is a prime.

It is a super-2 number, since 2×105256113435305² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105256113435307) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18659120285 + ... + 18659125925.

It is an arithmetic number, because the mean of its divisors is an integer number (2280197464272).

Almost surely, 2^{105256113435305} is an apocalyptic number.

It is an amenable number.

105256113435305 is a deficient number, since it is larger than the sum of its proper divisors (40676524278103).

105256113435305 is a wasteful number, since it uses less digits than its factorization.

105256113435305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11226.

The product of its (nonzero) digits is 810000, while the sum is 44.

The spelling of 105256113435305 in words is "one hundred five trillion, two hundred fifty-six billion, one hundred thirteen million, four hundred thirty-five thousand, three hundred five".