105505010600111 has 8 divisors (see below), whose sum is σ = 108215049282384. Its totient is φ = 102806627999040.

The previous prime is 105505010600071. The next prime is 105505010600153. The reversal of 105505010600111 is 111006010505501.

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 105505010600111 - 2²² = 105505006405807 is a prime.

It is a super-2 number, since 2×105505010600111² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105505010600191) 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 in 7 ways as a sum of consecutive naturals, for example, 2914001966 + ... + 2914038171.

It is an arithmetic number, because the mean of its divisors is an integer number (13526881160298).

Almost surely, 2^{105505010600111} is an apocalyptic number.

105505010600111 is a deficient number, since it is larger than the sum of its proper divisors (2710038682273).

105505010600111 is an equidigital number, since it uses as much as digits as its factorization.

105505010600111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5828040601.

The product of its (nonzero) digits is 750, while the sum is 26.

The spelling of 105505010600111 in words is "one hundred five trillion, five hundred five billion, ten million, six hundred thousand, one hundred eleven".