105536859 has 16 divisors (see below), whose sum is σ = 143616000. Its totient is φ = 68919840.

The previous prime is 105536843. The next prime is 105536861. The reversal of 105536859 is 958635501.

It is not a de Polignac number, because 105536859 - 2⁴ = 105536843 is a prime.

It is a super-3 number, since 3×105536859³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105536859.

It is not an unprimeable number, because it can be changed into a prime (105531859) 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, 37017 + ... + 39765.

It is an arithmetic number, because the mean of its divisors is an integer number (8976000).

Almost surely, 2^105536859 is an apocalyptic number.

105536859 is a deficient number, since it is larger than the sum of its proper divisors (38079141).

105536859 is a wasteful number, since it uses less digits than its factorization.

105536859 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010.

The product of its (nonzero) digits is 162000, while the sum is 42.

The square root of 105536859 is about 10273.1134034430. The cubic root of 105536859 is about 472.5720748930.

The spelling of 105536859 in words is "one hundred five million, five hundred thirty-six thousand, eight hundred fifty-nine".