10510605105011 has 16 divisors (see below), whose sum is σ = 12458936140800. Its totient is φ = 8760189463200.

The previous prime is 10510605104957. The next prime is 10510605105017. The reversal of 10510605105011 is 11050150601501.

It is a cyclic number.

It is not a de Polignac number, because 10510605105011 - 2¹⁸ = 10510604842867 is a prime.

It is a super-2 number, since 2×10510605105011² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10510605105017) 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 15 ways as a sum of consecutive naturals, for example, 811122176 + ... + 811135133.

It is an arithmetic number, because the mean of its divisors is an integer number (778683508800).

Almost surely, 2^{10510605105011} is an apocalyptic number.

10510605105011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10510605105011 is a deficient number, since it is larger than the sum of its proper divisors (1948331035789).

10510605105011 is a wasteful number, since it uses less digits than its factorization.

10510605105011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622257370.

The product of its (nonzero) digits is 750, while the sum is 26.

Adding to 10510605105011 its reverse (11050150601501), we get a palindrome (21560755706512).

The spelling of 10510605105011 in words is "ten trillion, five hundred ten billion, six hundred five million, one hundred five thousand, eleven".