105333240200 has 48 divisors (see below), whose sum is σ = 245064510180. Its totient is φ = 42104956160.

The previous prime is 105333240157. The next prime is 105333240211. The reversal of 105333240200 is 2042333501.

It can be written as a sum of positive squares in 6 ways, for example, as 43261504036 + 62071736164 = 207994^2 + 249142^2 .

It is a super-2 number, since 2×105333240200² (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 11 ways as a sum of consecutive naturals, for example, 122222 + ... + 474978.

Almost surely, 2^105333240200 is an apocalyptic number.

105333240200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105333240200 is an abundant number, since it is smaller than the sum of its proper divisors (139731269980).

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

105333240200 is a wasteful number, since it uses less digits than its factorization.

105333240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354266 (or 354257 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

Adding to 105333240200 its reverse (2042333501), we get a palindrome (107375573701).

The spelling of 105333240200 in words is "one hundred five billion, three hundred thirty-three million, two hundred forty thousand, two hundred".