105266324200 has 48 divisors (see below), whose sum is σ = 244824871500. Its totient is φ = 42092651520.

The previous prime is 105266324197. The next prime is 105266324201. The reversal of 105266324200 is 2423662501.

It can be written as a sum of positive squares in 6 ways, for example, as 56812629316 + 48453694884 = 238354^2 + 220122^2 .

It is a super-2 number, since 2×105266324200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105266324201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 532606 + ... + 702994.

Almost surely, 2^105266324200 is an apocalyptic number.

105266324200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105266324200 is an abundant number, since it is smaller than the sum of its proper divisors (139558547300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105266324200 is a wasteful number, since it uses less digits than its factorization.

105266324200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173494 (or 173485 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 105266324200 its reverse (2423662501), we get a palindrome (107689986701).

The spelling of 105266324200 in words is "one hundred five billion, two hundred sixty-six million, three hundred twenty-four thousand, two hundred".