10320145200 has 150 divisors (see below), whose sum is σ = 37038289244. Its totient is φ = 2752030080.

The previous prime is 10320145193. The next prime is 10320145201. The reversal of 10320145200 is 254102301.

10320145200 is a `hidden beast` number, since 1 + 0 + 320 + 145 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (150).

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

It is not an unprimeable number, because it can be changed into a prime (10320145201) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 126862 + ... + 191661.

Almost surely, 2^10320145200 is an apocalyptic number.

10320145200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10320145200 is an abundant number, since it is smaller than the sum of its proper divisors (26718144044).

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

10320145200 is a wasteful number, since it uses less digits than its factorization.

10320145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318553 (or 318533 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10320145200 its reverse (254102301), we get a palindrome (10574247501).

The spelling of 10320145200 in words is "ten billion, three hundred twenty million, one hundred forty-five thousand, two hundred".