105405113 has 8 divisors (see below), whose sum is σ = 119987136. Its totient is φ = 91656400.

The previous prime is 105405107. The next prime is 105405121. The reversal of 105405113 is 311504501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105405113 - 2¹² = 105401017 is a prime.

It is a super-3 number, since 3×105405113³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105405173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208058 + ... + 208563.

It is an arithmetic number, because the mean of its divisors is an integer number (14998392).

Almost surely, 2^105405113 is an apocalyptic number.

It is an amenable number.

105405113 is a deficient number, since it is larger than the sum of its proper divisors (14582023).

105405113 is a wasteful number, since it uses less digits than its factorization.

105405113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416655.

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 105405113 is about 10266.6992261388. The cubic root of 105405113 is about 472.3753492935.

Adding to 105405113 its reverse (311504501), we get a palindrome (416909614).

The spelling of 105405113 in words is "one hundred five million, four hundred five thousand, one hundred thirteen".