10105541432049 has 16 divisors (see below), whose sum is σ = 15757034703872. Its totient is φ = 5640302194128.

The previous prime is 10105541432047. The next prime is 10105541432111. The reversal of 10105541432049 is 94023414550101.

It is not a de Polignac number, because 10105541432049 - 2¹ = 10105541432047 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10105541431998 and 10105541432016.

It is not an unprimeable number, because it can be changed into a prime (10105541432047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5595536989 + ... + 5595538794.

It is an arithmetic number, because the mean of its divisors is an integer number (984814668992).

Almost surely, 2^{10105541432049} is an apocalyptic number.

It is an amenable number.

10105541432049 is a deficient number, since it is larger than the sum of its proper divisors (5651493271823).

10105541432049 is a wasteful number, since it uses less digits than its factorization.

10105541432049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11191075836.

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 10105541432049 in words is "ten trillion, one hundred five billion, five hundred forty-one million, four hundred thirty-two thousand, forty-nine".