105055006006001 has 4 divisors (see below), whose sum is σ = 105107090790372. Its totient is φ = 105002921221632.

The previous prime is 105055006005977. The next prime is 105055006006031. The reversal of 105055006006001 is 100600600550501.

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 33183947823601 + 71871058182400 = 5760551^2 + 8477680^2 .

It is a cyclic number.

It is not a de Polignac number, because 105055006006001 - 2³⁸ = 104780128099057 is a prime.

It is a super-2 number, since 2×105055006006001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105055006006031) 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, 26042389160 + ... + 26042393193.

It is an arithmetic number, because the mean of its divisors is an integer number (26276772697593).

Almost surely, 2^{105055006006001} is an apocalyptic number.

It is an amenable number.

105055006006001 is a deficient number, since it is larger than the sum of its proper divisors (52084784371).

105055006006001 is an equidigital number, since it uses as much as digits as its factorization.

105055006006001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52084784370.

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

Adding to 105055006006001 its reverse (100600600550501), we get a palindrome (205655606556502).

The spelling of 105055006006001 in words is "one hundred five trillion, fifty-five billion, six million, six thousand, one".