105013321205 has 8 divisors (see below), whose sum is σ = 135709522872. Its totient is φ = 77548298688.

The previous prime is 105013321181. The next prime is 105013321211. The reversal of 105013321205 is 502123310501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2112229681 + 102901091524 = 45959^2 + 320782^2 .

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-105013321205 is a prime.

It is a super-2 number, since 2×105013321205² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 807794714 + ... + 807794843.

It is an arithmetic number, because the mean of its divisors is an integer number (16963690359).

Almost surely, 2^105013321205 is an apocalyptic number.

It is an amenable number.

105013321205 is a deficient number, since it is larger than the sum of its proper divisors (30696201667).

105013321205 is a wasteful number, since it uses less digits than its factorization.

105013321205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615589575.

The product of its (nonzero) digits is 900, while the sum is 23.

Adding to 105013321205 its reverse (502123310501), we get a palindrome (607136631706).

The spelling of 105013321205 in words is "one hundred five billion, thirteen million, three hundred twenty-one thousand, two hundred five".