10073203200 has 240 divisors, whose sum is σ = 36974820960. Its totient is φ = 2686095360.

The previous prime is 10073203193. The next prime is 10073203213. The reversal of 10073203200 is 230237001.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331027 + ... + 360173.

It is an arithmetic number, because the mean of its divisors is an integer number (154061754).

Almost surely, 2^10073203200 is an apocalyptic number.

10073203200 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 10073203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18487410480).

10073203200 is an abundant number, since it is smaller than the sum of its proper divisors (26901617760).

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

10073203200 is an equidigital number, since it uses as much as digits as its factorization.

10073203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29184 (or 29157 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The spelling of 10073203200 in words is "ten billion, seventy-three million, two hundred three thousand, two hundred".