105503542302141 has 32 divisors (see below), whose sum is σ = 157118449593600. Its totient is φ = 69968194228800.

The previous prime is 105503542302133. The next prime is 105503542302143. The reversal of 105503542302141 is 141203245305501.

105503542302141 is a `hidden beast` number, since 1 + 0 + 5 + 50 + 3 + 542 + 3 + 0 + 21 + 41 = 666.

It is not a de Polignac number, because 105503542302141 - 2³ = 105503542302133 is a prime.

It is a super-2 number, since 2×105503542302141² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105503542302096 and 105503542302105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105503542302143) 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 31 ways as a sum of consecutive naturals, for example, 34162600 + ... + 37122638.

It is an arithmetic number, because the mean of its divisors is an integer number (4909951549800).

Almost surely, 2^{105503542302141} is an apocalyptic number.

It is an amenable number.

105503542302141 is a deficient number, since it is larger than the sum of its proper divisors (51614907291459).

105503542302141 is a wasteful number, since it uses less digits than its factorization.

105503542302141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2966946 (or 2966940 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 105503542302141 its reverse (141203245305501), we get a palindrome (246706787607642).

The spelling of 105503542302141 in words is "one hundred five trillion, five hundred three billion, five hundred forty-two million, three hundred two thousand, one hundred forty-one".