105513301 has 8 divisors (see below), whose sum is σ = 107668440. Its totient is φ = 103364352.

The previous prime is 105513283. The next prime is 105513311. The reversal of 105513301 is 103315501.

It can be written as a sum of positive squares in 4 ways, for example, as 41912676 + 63600625 = 6474^2 + 7975^2 .

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 105513301 - 2¹⁷ = 105382229 is a prime.

It is a super-2 number, since 2×105513301² = 22266113375833202, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105513311) 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, 49465 + ... + 51553.

It is an arithmetic number, because the mean of its divisors is an integer number (13458555).

Almost surely, 2^105513301 is an apocalyptic number.

It is an amenable number.

105513301 is a deficient number, since it is larger than the sum of its proper divisors (2155139).

105513301 is an equidigital number, since it uses as much as digits as its factorization.

105513301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095.

The product of its (nonzero) digits is 225, while the sum is 19.

The square root of 105513301 is about 10271.9667542297. The cubic root of 105513301 is about 472.5369096705.

Adding to 105513301 its reverse (103315501), we get a palindrome (208828802).

The spelling of 105513301 in words is "one hundred five million, five hundred thirteen thousand, three hundred one".