105589119144 has 32 divisors (see below), whose sum is σ = 263983155840. Its totient is φ = 35194992000.

The previous prime is 105589119071. The next prime is 105589119151. The reversal of 105589119144 is 441911985501.

It is a super-2 number, since 2×105589119144² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105589119093 and 105589119102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 675169 + ... + 816719.

It is an arithmetic number, because the mean of its divisors is an integer number (8249473620).

Almost surely, 2^105589119144 is an apocalyptic number.

It is an amenable number.

105589119144 is an abundant number, since it is smaller than the sum of its proper divisors (158394036696).

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

105589119144 is a wasteful number, since it uses less digits than its factorization.

105589119144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172641 (or 172637 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 48.

The spelling of 105589119144 in words is "one hundred five billion, five hundred eighty-nine million, one hundred nineteen thousand, one hundred forty-four".