105500106106 has 8 divisors (see below), whose sum is σ = 159816992724. Its totient is φ = 52227775200.

The previous prime is 105500106071. The next prime is 105500106121. The reversal of 105500106106 is 601601005501.

It can be written as a sum of positive squares in 2 ways, for example, as 99818715481 + 5681390625 = 315941^2 + 75375^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×105500106106² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 261138675 + ... + 261139078.

Almost surely, 2^105500106106 is an apocalyptic number.

105500106106 is a deficient number, since it is larger than the sum of its proper divisors (54316886618).

105500106106 is a wasteful number, since it uses less digits than its factorization.

105500106106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522277856.

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 105500106106 in words is "one hundred five billion, five hundred million, one hundred six thousand, one hundred six".