105345121331 has 8 divisors (see below), whose sum is σ = 112102408800. Its totient is φ = 98650113408.

The previous prime is 105345121319. The next prime is 105345121333. The reversal of 105345121331 is 133121543501.

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 105345121331 - 2¹⁴ = 105345104947 is a prime.

It is a super-2 number, since 2×105345121331² (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 = 105345121294 and 105345121303.

It is not an unprimeable number, because it can be changed into a prime (105345121333) by changing a digit.

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, 15566396 + ... + 15573161.

It is an arithmetic number, because the mean of its divisors is an integer number (14012801100).

Almost surely, 2^105345121331 is an apocalyptic number.

105345121331 is a deficient number, since it is larger than the sum of its proper divisors (6757287469).

105345121331 is a wasteful number, since it uses less digits than its factorization.

105345121331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31139773.

The product of its (nonzero) digits is 5400, while the sum is 29.

Adding to 105345121331 its reverse (133121543501), we get a palindrome (238466664832).

The spelling of 105345121331 in words is "one hundred five billion, three hundred forty-five million, one hundred twenty-one thousand, three hundred thirty-one".