105505550000106 has 8 divisors (see below), whose sum is σ = 211011100000224. Its totient is φ = 35168516666700.

The previous prime is 105505550000087. The next prime is 105505550000117. The reversal of 105505550000106 is 601000055505501.

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

105505550000106 is an admirable number.

It is a super-2 number, since 2×105505550000106² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8792129166670 + ... + 8792129166681.

It is an arithmetic number, because the mean of its divisors is an integer number (26376387500028).

Almost surely, 2^{105505550000106} is an apocalyptic number.

105505550000106 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105505550000106 is a wasteful number, since it uses less digits than its factorization.

105505550000106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17584258333356.

The product of its (nonzero) digits is 18750, while the sum is 33.

The spelling of 105505550000106 in words is "one hundred five trillion, five hundred five billion, five hundred fifty million, one hundred six", and thus it is an aban number.