105256363224117 has 24 divisors (see below), whose sum is σ = 169276557251136. Its totient is φ = 56980888357824.

The previous prime is 105256363224101. The next prime is 105256363224163. The reversal of 105256363224117 is 711422363652501.

It is not a de Polignac number, because 105256363224117 - 2⁴ = 105256363224101 is a prime.

It is a super-2 number, since 2×105256363224117² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105256363224917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6942108448 + ... + 6942123609.

It is an arithmetic number, because the mean of its divisors is an integer number (7053189885464).

Almost surely, 2^{105256363224117} is an apocalyptic number.

It is an amenable number.

105256363224117 is a deficient number, since it is larger than the sum of its proper divisors (64020194027019).

105256363224117 is a wasteful number, since it uses less digits than its factorization.

105256363224117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13884232105 (or 13884232086 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 105256363224117 in words is "one hundred five trillion, two hundred fifty-six billion, three hundred sixty-three million, two hundred twenty-four thousand, one hundred seventeen".