105362351341 has 16 divisors (see below), whose sum is σ = 124284510000. Its totient is φ = 88380085248.

The previous prime is 105362351317. The next prime is 105362351371. The reversal of 105362351341 is 143153263501.

It can be written as a sum of positive squares in 8 ways, for example, as 9786155625 + 95576195716 = 98925^2 + 309154^2 .

It is not a de Polignac number, because 105362351341 - 2⁹ = 105362350829 is a prime.

It is a super-2 number, since 2×105362351341² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105362351297 and 105362351306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105362351371) 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 15 ways as a sum of consecutive naturals, for example, 8213466 + ... + 8226283.

It is an arithmetic number, because the mean of its divisors is an integer number (7767781875).

Almost surely, 2^105362351341 is an apocalyptic number.

It is an amenable number.

105362351341 is a deficient number, since it is larger than the sum of its proper divisors (18922158659).

105362351341 is a wasteful number, since it uses less digits than its factorization.

105362351341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16439808.

The product of its (nonzero) digits is 32400, while the sum is 34.

The spelling of 105362351341 in words is "one hundred five billion, three hundred sixty-two million, three hundred fifty-one thousand, three hundred forty-one".