105497317263 has 16 divisors (see below), whose sum is σ = 158069560320. Its totient is φ = 62098754784.

The previous prime is 105497317253. The next prime is 105497317271. The reversal of 105497317263 is 362713794501.

It is a happy number.

It is not a de Polignac number, because 105497317263 - 2⁹ = 105497316751 is a prime.

It is a super-2 number, since 2×105497317263² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105497317223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58804743 + ... + 58806536.

It is an arithmetic number, because the mean of its divisors is an integer number (9879347520).

Almost surely, 2^105497317263 is an apocalyptic number.

105497317263 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105497317263 is a deficient number, since it is larger than the sum of its proper divisors (52572243057).

105497317263 is a wasteful number, since it uses less digits than its factorization.

105497317263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117611318.

The product of its (nonzero) digits is 952560, while the sum is 48.

The spelling of 105497317263 in words is "one hundred five billion, four hundred ninety-seven million, three hundred seventeen thousand, two hundred sixty-three".