105513500305 has 8 divisors (see below), whose sum is σ = 126628348392. Its totient is φ = 84402701568.

The previous prime is 105513500303. The next prime is 105513500317. The reversal of 105513500305 is 503005315501.

It can be written as a sum of positive squares in 4 ways, for example, as 48960855441 + 56552644864 = 221271^2 + 237808^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 105513500305 - 2¹ = 105513500303 is a prime.

It is a super-2 number, since 2×105513500305² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105513500303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 954712 + ... + 1059481.

It is an arithmetic number, because the mean of its divisors is an integer number (15828543549).

Almost surely, 2^105513500305 is an apocalyptic number.

It is an amenable number.

105513500305 is a deficient number, since it is larger than the sum of its proper divisors (21114848087).

105513500305 is a wasteful number, since it uses less digits than its factorization.

105513500305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024675.

The product of its (nonzero) digits is 5625, while the sum is 28.

Adding to 105513500305 its reverse (503005315501), we get a palindrome (608518815806).

The spelling of 105513500305 in words is "one hundred five billion, five hundred thirteen million, five hundred thousand, three hundred five".