105232168004 has 54 divisors (see below), whose sum is σ = 191820320874. Its totient is φ = 50483669760.

The previous prime is 105232167949. The next prime is 105232168007. The reversal of 105232168004 is 400861232501.

It can be written as a sum of positive squares in 3 ways, for example, as 3317990404 + 101914177600 = 57602^2 + 319240^2 .

It is a super-3 number, since 3×105232168004³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105232168007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 303262559 + ... + 303262905.

Almost surely, 2^105232168004 is an apocalyptic number.

It is an amenable number.

105232168004 is a deficient number, since it is larger than the sum of its proper divisors (86588152870).

105232168004 is an frugal number, since it uses more digits than its factorization.

105232168004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 105232168004 in words is "one hundred five billion, two hundred thirty-two million, one hundred sixty-eight thousand, four".