105506056001 has 4 divisors (see below), whose sum is σ = 105516722004. Its totient is φ = 105495390000.

The previous prime is 105506055997. The next prime is 105506056031. The reversal of 105506056001 is 100650605501.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 96224660401 + 9281395600 = 310201^2 + 96340^2 .

It is a cyclic number.

It is not a de Polignac number, because 105506056001 - 2² = 105506055997 is a prime.

It is a super-3 number, since 3×105506056001³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105506056031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5318150 + ... + 5337951.

It is an arithmetic number, because the mean of its divisors is an integer number (26379180501).

Almost surely, 2^105506056001 is an apocalyptic number.

It is an amenable number.

105506056001 is a deficient number, since it is larger than the sum of its proper divisors (10666003).

105506056001 is an equidigital number, since it uses as much as digits as its factorization.

105506056001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10666002.

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 105506056001 in words is "one hundred five billion, five hundred six million, fifty-six thousand, one".