105513324301 has 24 divisors (see below), whose sum is σ = 133917541920. Its totient is φ = 82206280800.

The previous prime is 105513324299. The next prime is 105513324317. The reversal of 105513324301 is 103423315501.

It is a happy number.

It is not a de Polignac number, because 105513324301 - 2¹ = 105513324299 is a prime.

It is a super-2 number, since 2×105513324301² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105513324301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105513324361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6449590 + ... + 6465928.

It is an arithmetic number, because the mean of its divisors is an integer number (5579897580).

Almost surely, 2^105513324301 is an apocalyptic number.

105513324301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105513324301 is a deficient number, since it is larger than the sum of its proper divisors (28404217619).

105513324301 is a wasteful number, since it uses less digits than its factorization.

105513324301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28345 (or 28338 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 105513324301 its reverse (103423315501), we get a palindrome (208936639802).

The spelling of 105513324301 in words is "one hundred five billion, five hundred thirteen million, three hundred twenty-four thousand, three hundred one".