105354441405 has 12 divisors (see below), whose sum is σ = 182614365180. Its totient is φ = 56189035392.

The previous prime is 105354441391. The next prime is 105354441431. The reversal of 105354441405 is 504144453501.

105354441405 is a `hidden beast` number, since 1 + 0 + 535 + 44 + 41 + 40 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71266573764 + 34087867641 = 266958^2 + 184629^2 .

It is not a de Polignac number, because 105354441405 - 2⁷ = 105354441277 is a prime.

It is a super-2 number, since 2×105354441405² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105354441405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1170604860 + ... + 1170604949.

It is an arithmetic number, because the mean of its divisors is an integer number (15217863765).

Almost surely, 2^105354441405 is an apocalyptic number.

105354441405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105354441405 is a deficient number, since it is larger than the sum of its proper divisors (77259923775).

105354441405 is a wasteful number, since it uses less digits than its factorization.

105354441405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341209820 (or 2341209817 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 105354441405 its reverse (504144453501), we get a palindrome (609498894906).

The spelling of 105354441405 in words is "one hundred five billion, three hundred fifty-four million, four hundred forty-one thousand, four hundred five".