105400441313 has 2 divisors, whose sum is σ = 105400441314. Its totient is φ = 105400441312.

The previous prime is 105400441283. The next prime is 105400441351. The reversal of 105400441313 is 313144004501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102472332769 + 2928108544 = 320113^2 + 54112^2 .

It is a cyclic number.

It is not a de Polignac number, because 105400441313 - 2¹² = 105400437217 is a prime.

It is a super-2 number, since 2×105400441313² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105400444313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52700220656 + 52700220657.

It is an arithmetic number, because the mean of its divisors is an integer number (52700220657).

Almost surely, 2^105400441313 is an apocalyptic number.

It is an amenable number.

105400441313 is a deficient number, since it is larger than the sum of its proper divisors (1).

105400441313 is an equidigital number, since it uses as much as digits as its factorization.

105400441313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 105400441313 its reverse (313144004501), we get a palindrome (418544445814).

The spelling of 105400441313 in words is "one hundred five billion, four hundred million, four hundred forty-one thousand, three hundred thirteen".