105338100101 has 8 divisors (see below), whose sum is σ = 113526924504. Its totient is φ = 97161546240.

The previous prime is 105338100071. The next prime is 105338100113. The reversal of 105338100101 is 101001833501.

It can be written as a sum of positive squares in 4 ways, for example, as 41871390625 + 63466709476 = 204625^2 + 251926^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105338100101 is a prime.

It is a super-2 number, since 2×105338100101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105338100001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3049796 + ... + 3084141.

It is an arithmetic number, because the mean of its divisors is an integer number (14190865563).

Almost surely, 2^105338100101 is an apocalyptic number.

It is an amenable number.

105338100101 is a deficient number, since it is larger than the sum of its proper divisors (8188824403).

105338100101 is a wasteful number, since it uses less digits than its factorization.

105338100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6135271.

The product of its (nonzero) digits is 360, while the sum is 23.

Adding to 105338100101 its reverse (101001833501), we get a palindrome (206339933602).

The spelling of 105338100101 in words is "one hundred five billion, three hundred thirty-eight million, one hundred thousand, one hundred one".