105056060110105 has 8 divisors (see below), whose sum is σ = 135764754603912. Its totient is φ = 77579859773568.

The previous prime is 105056060110049. The next prime is 105056060110139. The reversal of 105056060110105 is 501011060650501.

It can be written as a sum of positive squares in 4 ways, for example, as 15705472038169 + 89350588071936 = 3963013^2 + 9452544^2 .

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 105056060110105 - 2¹⁹ = 105056059585817 is a prime.

It is a super-2 number, since 2×105056060110105² (a number of 29 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 (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 808123539244 + ... + 808123539373.

It is an arithmetic number, because the mean of its divisors is an integer number (16970594325489).

Almost surely, 2^{105056060110105} is an apocalyptic number.

It is an amenable number.

105056060110105 is a deficient number, since it is larger than the sum of its proper divisors (30708694493807).

105056060110105 is a wasteful number, since it uses less digits than its factorization.

105056060110105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616247078635.

The product of its (nonzero) digits is 4500, while the sum is 31.

The spelling of 105056060110105 in words is "one hundred five trillion, fifty-six billion, sixty million, one hundred ten thousand, one hundred five".