105144141096 has 40 divisors (see below), whose sum is σ = 294500952570. Its totient is φ = 35048046816.

The previous prime is 105144141079. The next prime is 105144141103. The reversal of 105144141096 is 690141441501.

105144141096 is a `hidden beast` number, since 1 + 0 + 514 + 41 + 4 + 10 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102391040196 + 2753100900 = 319986^2 + 52470^2 .

It is a super-2 number, since 2×105144141096² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 105144141096.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 81129091 + ... + 81130386.

Almost surely, 2^105144141096 is an apocalyptic number.

It is an amenable number.

105144141096 is an abundant number, since it is smaller than the sum of its proper divisors (189356811474).

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

105144141096 is a wasteful number, since it uses less digits than its factorization.

105144141096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162259495 (or 162259482 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 105144141096 its reverse (690141441501), we get a palindrome (795285582597).

The spelling of 105144141096 in words is "one hundred five billion, one hundred forty-four million, one hundred forty-one thousand, ninety-six".