105005113310144 has 56 divisors (see below), whose sum is σ = 211230572376720. Its totient is φ = 51781707454464.

The previous prime is 105005113310093. The next prime is 105005113310191. The reversal of 105005113310144 is 441013311500501.

It is a super-2 number, since 2×105005113310144² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 154785962 + ... + 155462870.

Almost surely, 2^{105005113310144} is an apocalyptic number.

It is an amenable number.

105005113310144 is an abundant number, since it is smaller than the sum of its proper divisors (106225459066576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105005113310144 is an equidigital number, since it uses as much as digits as its factorization.

105005113310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710197 (or 710187 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

Adding to 105005113310144 its reverse (441013311500501), we get a palindrome (546018424810645).

The spelling of 105005113310144 in words is "one hundred five trillion, five billion, one hundred thirteen million, three hundred ten thousand, one hundred forty-four".