105013323405 has 12 divisors (see below), whose sum is σ = 182023093980. Its totient is φ = 56007105792.

The previous prime is 105013323313. The next prime is 105013323439. The reversal of 105013323405 is 504323310501.

105013323405 is a `hidden beast` number, since 105 + 0 + 133 + 23 + 405 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79649257284 + 25364066121 = 282222^2 + 159261^2 .

It is not a de Polignac number, because 105013323405 - 2⁷ = 105013323277 is a prime.

It is a super-2 number, since 2×105013323405² (a number of 23 digits) contains 22 as substring.

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, 1166814660 + ... + 1166814749.

It is an arithmetic number, because the mean of its divisors is an integer number (15168591165).

Almost surely, 2^105013323405 is an apocalyptic number.

105013323405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105013323405 is a deficient number, since it is larger than the sum of its proper divisors (77009770575).

105013323405 is a wasteful number, since it uses less digits than its factorization.

105013323405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2333629420 (or 2333629417 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 105013323405 its reverse (504323310501), we get a palindrome (609336633906).

The spelling of 105013323405 in words is "one hundred five billion, thirteen million, three hundred twenty-three thousand, four hundred five".