105610555011 has 32 divisors (see below), whose sum is σ = 152713290240. Its totient is φ = 64534489344.

The previous prime is 105610555009. The next prime is 105610555019. The reversal of 105610555011 is 110555016501.

It is not a de Polignac number, because 105610555011 - 2¹ = 105610555009 is a prime.

It is a super-2 number, since 2×105610555011² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105610555011.

It is not an unprimeable number, because it can be changed into a prime (105610555019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6628791 + ... + 6644703.

It is an arithmetic number, because the mean of its divisors is an integer number (4772290320).

Almost surely, 2^105610555011 is an apocalyptic number.

105610555011 is a deficient number, since it is larger than the sum of its proper divisors (47102735229).

105610555011 is a wasteful number, since it uses less digits than its factorization.

105610555011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17115.

The product of its (nonzero) digits is 3750, while the sum is 30.

The spelling of 105610555011 in words is "one hundred five billion, six hundred ten million, five hundred fifty-five thousand, eleven".