105798669259179 has 128 divisors (see below), whose sum is σ = 162031268224000. Its totient is φ = 60866632286208.

The previous prime is 105798669259163. The next prime is 105798669259207. The reversal of 105798669259179 is 971952966897501.

It is not a de Polignac number, because 105798669259179 - 2⁴ = 105798669259163 is a prime.

It is a super-2 number, since 2×105798669259179² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105798669259139) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66248383209 + ... + 66248384805.

It is an arithmetic number, because the mean of its divisors is an integer number (1265869283000).

Almost surely, 2^{105798669259179} is an apocalyptic number.

105798669259179 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

105798669259179 is a deficient number, since it is larger than the sum of its proper divisors (56232598964821).

105798669259179 is a wasteful number, since it uses less digits than its factorization.

105798669259179 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3837.

The product of its (nonzero) digits is 4629441600, while the sum is 84.

The spelling of 105798669259179 in words is "one hundred five trillion, seven hundred ninety-eight billion, six hundred sixty-nine million, two hundred fifty-nine thousand, one hundred seventy-nine".