105541014113353 has 16 divisors (see below), whose sum is σ = 130693544630656. Its totient is φ = 82992677708160.

The previous prime is 105541014113321. The next prime is 105541014113383. The reversal of 105541014113353 is 353311410145501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105541014113353 - 2⁵ = 105541014113321 is a prime.

It is a super-2 number, since 2×105541014113353² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105541014113383) 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 15 ways as a sum of consecutive naturals, for example, 3557627388 + ... + 3557657053.

It is an arithmetic number, because the mean of its divisors is an integer number (8168346539416).

Almost surely, 2^{105541014113353} is an apocalyptic number.

105541014113353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105541014113353 is a deficient number, since it is larger than the sum of its proper divisors (25152530517303).

105541014113353 is a wasteful number, since it uses less digits than its factorization.

105541014113353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7115284624.

The product of its (nonzero) digits is 54000, while the sum is 37.

Adding to 105541014113353 its reverse (353311410145501), we get a palindrome (458852424258854).

The spelling of 105541014113353 in words is "one hundred five trillion, five hundred forty-one billion, fourteen million, one hundred thirteen thousand, three hundred fifty-three".