105354200164 has 12 divisors (see below), whose sum is σ = 195215135724. Its totient is φ = 49578447104.

The previous prime is 105354200087. The next prime is 105354200201. The reversal of 105354200164 is 461002453501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 36714392100 + 68639808064 = 191610^2 + 261992^2 .

It is a super-2 number, since 2×105354200164² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 774663169 + ... + 774663304.

It is an arithmetic number, because the mean of its divisors is an integer number (16267927977).

Almost surely, 2^105354200164 is an apocalyptic number.

It is an amenable number.

105354200164 is a deficient number, since it is larger than the sum of its proper divisors (89860935560).

105354200164 is a wasteful number, since it uses less digits than its factorization.

105354200164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549326494 (or 1549326492 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 105354200164 its reverse (461002453501), we get a palindrome (566356653665).

The spelling of 105354200164 in words is "one hundred five billion, three hundred fifty-four million, two hundred thousand, one hundred sixty-four".