105540041413 has 2 divisors, whose sum is σ = 105540041414. Its totient is φ = 105540041412.

The previous prime is 105540041377. The next prime is 105540041423. The reversal of 105540041413 is 314140045501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69856075809 + 35683965604 = 264303^2 + 188902^2 .

It is a cyclic number.

It is not a de Polignac number, because 105540041413 - 2²¹ = 105537944261 is a prime.

It is a super-2 number, since 2×105540041413² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105540041423) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52770020706 + 52770020707.

It is an arithmetic number, because the mean of its divisors is an integer number (52770020707).

Almost surely, 2^105540041413 is an apocalyptic number.

It is an amenable number.

105540041413 is a deficient number, since it is larger than the sum of its proper divisors (1).

105540041413 is an equidigital number, since it uses as much as digits as its factorization.

105540041413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 105540041413 its reverse (314140045501), we get a palindrome (419680086914).

The spelling of 105540041413 in words is "one hundred five billion, five hundred forty million, forty-one thousand, four hundred thirteen".