105086217805 has 16 divisors (see below), whose sum is σ = 126930789504. Its totient is φ = 83518177600.

The previous prime is 105086217787. The next prime is 105086217809. The reversal of 105086217805 is 508712680501.

It is not a de Polignac number, because 105086217805 - 2²⁹ = 104549346893 is a prime.

It is a super-2 number, since 2×105086217805² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105086217809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1084080 + ... + 1177030.

It is an arithmetic number, because the mean of its divisors is an integer number (7933174344).

Almost surely, 2^105086217805 is an apocalyptic number.

It is an amenable number.

105086217805 is a deficient number, since it is larger than the sum of its proper divisors (21844571699).

105086217805 is a wasteful number, since it uses less digits than its factorization.

105086217805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94436.

The product of its (nonzero) digits is 134400, while the sum is 43.

The spelling of 105086217805 in words is "one hundred five billion, eighty-six million, two hundred seventeen thousand, eight hundred five".