105038168345 has 64 divisors (see below), whose sum is σ = 154288592640. Its totient is φ = 67724697600.

The previous prime is 105038168329. The next prime is 105038168353. The reversal of 105038168345 is 543861830501.

It is not a de Polignac number, because 105038168345 - 2⁴ = 105038168329 is a prime.

It is a super-2 number, since 2×105038168345² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105038168296 and 105038168305.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1064474 + ... + 1158956.

It is an arithmetic number, because the mean of its divisors is an integer number (2410759260).

Almost surely, 2^105038168345 is an apocalyptic number.

It is an amenable number.

105038168345 is a deficient number, since it is larger than the sum of its proper divisors (49250424295).

105038168345 is a wasteful number, since it uses less digits than its factorization.

105038168345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94586.

The product of its (nonzero) digits is 345600, while the sum is 44.

Adding to 105038168345 its reverse (543861830501), we get a palindrome (648899998846).

The spelling of 105038168345 in words is "one hundred five billion, thirty-eight million, one hundred sixty-eight thousand, three hundred forty-five".