105372301321 has 27 divisors (see below), whose sum is σ = 124359031629. Its totient is φ = 89023917528.

The previous prime is 105372301319. The next prime is 105372301327. The reversal of 105372301321 is 123103273501.

The square root of 105372301321 is 324611.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 105372301321 - 2¹ = 105372301319 is a prime.

It is a super-2 number, since 2×105372301321² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105372301321.

It is not an unprimeable number, because it can be changed into a prime (105372301327) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 179509590 + ... + 179510176.

Almost surely, 2^105372301321 is an apocalyptic number.

105372301321 is the 324611-st square number.

105372301321 is the 162306-th centered octagonal number.

It is an amenable number.

105372301321 is a deficient number, since it is larger than the sum of its proper divisors (18986730308).

105372301321 is an frugal number, since it uses more digits than its factorization.

105372301321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

Adding to 105372301321 its reverse (123103273501), we get a palindrome (228475574822).

The spelling of 105372301321 in words is "one hundred five billion, three hundred seventy-two million, three hundred one thousand, three hundred twenty-one".