105056010006055 has 8 divisors (see below), whose sum is σ = 126099728721792. Its totient is φ = 84023130195168.

The previous prime is 105056010006049. The next prime is 105056010006061. The reversal of 105056010006055 is 550600010650501.

It is an interprime number because it is at equal distance from previous prime (105056010006049) and next prime (105056010006061).

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

It is a cyclic number.

It is not a de Polignac number, because 105056010006055 - 2¹³ = 105056009997863 is a prime.

It is a super-2 number, since 2×105056010006055² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105056010006055.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2709704887 + ... + 2709743656.

It is an arithmetic number, because the mean of its divisors is an integer number (15762466090224).

Almost surely, 2^{105056010006055} is an apocalyptic number.

105056010006055 is a deficient number, since it is larger than the sum of its proper divisors (21043718715737).

105056010006055 is an equidigital number, since it uses as much as digits as its factorization.

105056010006055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5419452425.

The product of its (nonzero) digits is 22500, while the sum is 34.

Adding to 105056010006055 its reverse (550600010650501), we get a palindrome (655656020656556).

The spelling of 105056010006055 in words is "one hundred five trillion, fifty-six billion, ten million, six thousand, fifty-five".