105105115615011 has 16 divisors (see below), whose sum is σ = 140233359947520. Its totient is φ = 70023489132960.

The previous prime is 105105115614923. The next prime is 105105115615043. The reversal of 105105115615011 is 110516511501501.

It is not a de Polignac number, because 105105115615011 - 2³⁸ = 104830237708067 is a prime.

It is a super-2 number, since 2×105105115615011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105105115615411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26296386 + ... + 30028488.

It is an arithmetic number, because the mean of its divisors is an integer number (8764584996720).

Almost surely, 2^{105105115615011} is an apocalyptic number.

105105115615011 is a deficient number, since it is larger than the sum of its proper divisors (35128244332509).

105105115615011 is a wasteful number, since it uses less digits than its factorization.

105105115615011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3738346.

The product of its (nonzero) digits is 3750, while the sum is 33.

The spelling of 105105115615011 in words is "one hundred five trillion, one hundred five billion, one hundred fifteen million, six hundred fifteen thousand, eleven".