10001100506105 has 8 divisors (see below), whose sum is σ = 12006361075464. Its totient is φ = 7997520092800.

The previous prime is 10001100506083. The next prime is 10001100506171. The reversal of 10001100506105 is 50160500110001.

It can be written as a sum of positive squares in 4 ways, for example, as 572000278249 + 9429100227856 = 756307^2 + 3070684^2 .

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

It is not a de Polignac number, because 10001100506105 - 2¹² = 10001100502009 is a prime.

It is a super-2 number, since 2×10001100506105² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 420025916 + ... + 420049725.

It is an arithmetic number, because the mean of its divisors is an integer number (1500795134433).

Almost surely, 2^{10001100506105} is an apocalyptic number.

It is an amenable number.

10001100506105 is a deficient number, since it is larger than the sum of its proper divisors (2005260569359).

10001100506105 is an equidigital number, since it uses as much as digits as its factorization.

10001100506105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840078027.

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 10001100506105 its reverse (50160500110001), we get a palindrome (60161600616106).

The spelling of 10001100506105 in words is "ten trillion, one billion, one hundred million, five hundred six thousand, one hundred five".