105505011073 has 16 divisors (see below), whose sum is σ = 134746980480. Its totient is φ = 80206531200.

The previous prime is 105505011071. The next prime is 105505011121. The reversal of 105505011073 is 370110505501.

It is a cyclic number.

It is not a de Polignac number, because 105505011073 - 2¹ = 105505011071 is a prime.

It is a super-2 number, since 2×105505011073² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105505011071) 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, 16706538 + ... + 16712851.

It is an arithmetic number, because the mean of its divisors is an integer number (8421686280).

Almost surely, 2^105505011073 is an apocalyptic number.

It is an amenable number.

105505011073 is a deficient number, since it is larger than the sum of its proper divisors (29241969407).

105505011073 is a wasteful number, since it uses less digits than its factorization.

105505011073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33419448.

The product of its (nonzero) digits is 2625, while the sum is 28.

Adding to 105505011073 its reverse (370110505501), we get a palindrome (475615516574).

The spelling of 105505011073 in words is "one hundred five billion, five hundred five million, eleven thousand, seventy-three".