105056006006001 has 8 divisors (see below), whose sum is σ = 140303181487360. Its totient is φ = 69923083930992.

The previous prime is 105056006005919. The next prime is 105056006006047. The reversal of 105056006006001 is 100600600650501.

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

It is not a de Polignac number, because 105056006006001 - 2²⁵ = 105055972451569 is a prime.

It is a super-2 number, since 2×105056006006001² (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 105056006006001.

It is not an unprimeable number, because it can be changed into a prime (105056006006201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28563349441 + ... + 28563353118.

It is an arithmetic number, because the mean of its divisors is an integer number (17537897685920).

Almost surely, 2^{105056006006001} is an apocalyptic number.

It is an amenable number.

105056006006001 is a deficient number, since it is larger than the sum of its proper divisors (35247175481359).

105056006006001 is an equidigital number, since it uses as much as digits as its factorization.

105056006006001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57126703175.

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 105056006006001 its reverse (100600600650501), we get a palindrome (205656606656502).

The spelling of 105056006006001 in words is "one hundred five trillion, fifty-six billion, six million, six thousand, one".