10324420200 has 144 divisors (see below), whose sum is σ = 34723229580. Its totient is φ = 2749178880.

The previous prime is 10324420189. The next prime is 10324420231. The reversal of 10324420200 is 202442301.

10324420200 is a `hidden beast` number, since 10 + 32 + 4 + 420 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1219825476 + 9104594724 = 34926^2 + 95418^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1358812 + ... + 1366388.

Almost surely, 2^10324420200 is an apocalyptic number.

10324420200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10324420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17361614790).

10324420200 is an abundant number, since it is smaller than the sum of its proper divisors (24398809380).

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

10324420200 is a wasteful number, since it uses less digits than its factorization.

10324420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8356 (or 8344 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10324420200 its reverse (202442301), we get a palindrome (10526862501).

The spelling of 10324420200 in words is "ten billion, three hundred twenty-four million, four hundred twenty thousand, two hundred".