105506106005054 has 8 divisors (see below), whose sum is σ = 158264110427160. Its totient is φ = 52751402529336.

The previous prime is 105506106005021. The next prime is 105506106005071. The reversal of 105506106005054 is 450500601605501.

It is a happy number.

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

It is a super-3 number, since 3×105506106005054³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105506106004999 and 105506106005017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 825156689 + ... + 825284540.

It is an arithmetic number, because the mean of its divisors is an integer number (19783013803395).

Almost surely, 2^{105506106005054} is an apocalyptic number.

105506106005054 is a deficient number, since it is larger than the sum of its proper divisors (52758004422106).

105506106005054 is a wasteful number, since it uses less digits than its factorization.

105506106005054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650473194.

The product of its (nonzero) digits is 90000, while the sum is 38.

The spelling of 105506106005054 in words is "one hundred five trillion, five hundred six billion, one hundred six million, five thousand, fifty-four".