10105524311105 has 16 divisors (see below), whose sum is σ = 12229815932928. Its totient is φ = 8015735520000.

The previous prime is 10105524311093. The next prime is 10105524311117. The reversal of 10105524311105 is 50111342550101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10105524311093) and next prime (10105524311117).

It is not a de Polignac number, because 10105524311105 - 2²⁴ = 10105507533889 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5948216 + ... + 7456025.

It is an arithmetic number, because the mean of its divisors is an integer number (764363495808).

Almost surely, 2^{10105524311105} is an apocalyptic number.

It is an amenable number.

10105524311105 is a deficient number, since it is larger than the sum of its proper divisors (2124291621823).

10105524311105 is a wasteful number, since it uses less digits than its factorization.

10105524311105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13405528.

The product of its (nonzero) digits is 3000, while the sum is 29.

Adding to 10105524311105 its reverse (50111342550101), we get a palindrome (60216866861206).

The spelling of 10105524311105 in words is "ten trillion, one hundred five billion, five hundred twenty-four million, three hundred eleven thousand, one hundred five".