105000551000011 has 2 divisors, whose sum is σ = 105000551000012. Its totient is φ = 105000551000010.

The previous prime is 105000551000003. The next prime is 105000551000083. The reversal of 105000551000011 is 110000155000501.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105000551000011 - 2³ = 105000551000003 is a prime.

It is a super-3 number, since 3×105000551000011³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (105000531000011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52500275500005 + 52500275500006.

It is an arithmetic number, because the mean of its divisors is an integer number (52500275500006).

Almost surely, 2^{105000551000011} is an apocalyptic number.

105000551000011 is a deficient number, since it is larger than the sum of its proper divisors (1).

105000551000011 is an equidigital number, since it uses as much as digits as its factorization.

105000551000011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 125, while the sum is 19.

The spelling of 105000551000011 in words is "one hundred five trillion, five hundred fifty-one million, eleven", and thus it is an aban number.