105482354218617 has 64 divisors (see below), whose sum is σ = 154380319421184. Its totient is φ = 63792684933120.

The previous prime is 105482354218589. The next prime is 105482354218673. The reversal of 105482354218617 is 716812453284501.

It is not a de Polignac number, because 105482354218617 - 2⁷ = 105482354218489 is a prime.

It is a super-3 number, since 3×105482354218617³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105482354218517) 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, 97523893 + ... + 98599565.

It is an arithmetic number, because the mean of its divisors is an integer number (2412192490956).

Almost surely, 2^{105482354218617} is an apocalyptic number.

105482354218617 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

105482354218617 is a deficient number, since it is larger than the sum of its proper divisors (48897965202567).

105482354218617 is a wasteful number, since it uses less digits than its factorization.

105482354218617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076218.

The product of its (nonzero) digits is 12902400, while the sum is 57.

The spelling of 105482354218617 in words is "one hundred five trillion, four hundred eighty-two billion, three hundred fifty-four million, two hundred eighteen thousand, six hundred seventeen".