105450510511 has 16 divisors (see below), whose sum is σ = 113812443360. Its totient is φ = 97374251520.

The previous prime is 105450510491. The next prime is 105450510559. The reversal of 105450510511 is 115015054501.

It is a cyclic number.

It is not a de Polignac number, because 105450510511 - 2²⁹ = 104913639599 is a prime.

It is a super-2 number, since 2×105450510511² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105450510511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105450510211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 792865 + ... + 916261.

It is an arithmetic number, because the mean of its divisors is an integer number (7113277710).

Almost surely, 2^105450510511 is an apocalyptic number.

105450510511 is a deficient number, since it is larger than the sum of its proper divisors (8361932849).

105450510511 is a wasteful number, since it uses less digits than its factorization.

105450510511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124554.

The product of its (nonzero) digits is 2500, while the sum is 28.

The spelling of 105450510511 in words is "one hundred five billion, four hundred fifty million, five hundred ten thousand, five hundred eleven".