105505505400141 has 144 divisors (see below), whose sum is σ = 196184469225472. Its totient is φ = 53465822435520.

The previous prime is 105505505400121. The next prime is 105505505400151. The reversal of 105505505400141 is 141004505505501.

105505505400141 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 0 + 5 + 505 + 4 + 0 + 0 + 141 = 666.

It is not a de Polignac number, because 105505505400141 - 2¹¹ = 105505505398093 is a prime.

It is a super-2 number, since 2×105505505400141² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105505505400096 and 105505505400105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105505505400121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51603540 + ... + 53609106.

Almost surely, 2^{105505505400141} is an apocalyptic number.

105505505400141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105505505400141 is a deficient number, since it is larger than the sum of its proper divisors (90678963825331).

105505505400141 is a wasteful number, since it uses less digits than its factorization.

105505505400141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005772 (or 2005758 counting only the distinct ones).

The product of its (nonzero) digits is 50000, while the sum is 36.

The spelling of 105505505400141 in words is "one hundred five trillion, five hundred five billion, five hundred five million, four hundred thousand, one hundred forty-one".