105998829059 has 2 divisors, whose sum is σ = 105998829060. Its totient is φ = 105998829058.

The previous prime is 105998829049. The next prime is 105998829121. The reversal of 105998829059 is 950928899501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105998829059 - 2¹⁶ = 105998763523 is a prime.

It is a super-3 number, since 3×105998829059³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105998828986 and 105998829004.

It is not a weakly prime, because it can be changed into another prime (105998829049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52999414529 + 52999414530.

It is an arithmetic number, because the mean of its divisors is an integer number (52999414530).

Almost surely, 2^105998829059 is an apocalyptic number.

105998829059 is a deficient number, since it is larger than the sum of its proper divisors (1).

105998829059 is an equidigital number, since it uses as much as digits as its factorization.

105998829059 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20995200, while the sum is 65.

The spelling of 105998829059 in words is "one hundred five billion, nine hundred ninety-eight million, eight hundred twenty-nine thousand, fifty-nine".