105534589867 has 64 divisors (see below), whose sum is σ = 136806340608. Its totient is φ = 79276032000.

The previous prime is 105534589859. The next prime is 105534589873. The reversal of 105534589867 is 768985435501.

It is not a de Polignac number, because 105534589867 - 2³ = 105534589859 is a prime.

It is a super-2 number, since 2×105534589867² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105534589837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77541267 + ... + 77542627.

It is an arithmetic number, because the mean of its divisors is an integer number (2137599072).

Almost surely, 2^105534589867 is an apocalyptic number.

105534589867 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

105534589867 is a deficient number, since it is larger than the sum of its proper divisors (31271750741).

105534589867 is a wasteful number, since it uses less digits than its factorization.

105534589867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140.

The product of its (nonzero) digits is 36288000, while the sum is 61.

The spelling of 105534589867 in words is "one hundred five billion, five hundred thirty-four million, five hundred eighty-nine thousand, eight hundred sixty-seven".