105010561110611 has 32 divisors (see below), whose sum is σ = 116982259914240. Its totient is φ = 93608371584000.

The previous prime is 105010561110593. The next prime is 105010561110617. The reversal of 105010561110611 is 116011165010501.

It is a happy number.

It is not a de Polignac number, because 105010561110611 - 2⁴² = 100612514599507 is a prime.

It is a super-2 number, since 2×105010561110611² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105010561110617) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1620676031 + ... + 1620740823.

It is an arithmetic number, because the mean of its divisors is an integer number (3655695622320).

Almost surely, 2^{105010561110611} is an apocalyptic number.

105010561110611 is a deficient number, since it is larger than the sum of its proper divisors (11971698803629).

105010561110611 is a wasteful number, since it uses less digits than its factorization.

105010561110611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73247.

The product of its (nonzero) digits is 900, while the sum is 29.

The spelling of 105010561110611 in words is "one hundred five trillion, ten billion, five hundred sixty-one million, one hundred ten thousand, six hundred eleven".