10270204200 has 144 divisors (see below), whose sum is σ = 34906828320. Its totient is φ = 2705685120.

The previous prime is 10270204199. The next prime is 10270204211. The reversal of 10270204200 is 240207201.

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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 115029 + ... + 183771.

It is an arithmetic number, because the mean of its divisors is an integer number (242408530).

Almost surely, 2^10270204200 is an apocalyptic number.

10270204200 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 10270204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17453414160).

10270204200 is an abundant number, since it is smaller than the sum of its proper divisors (24636624120).

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

10270204200 is a wasteful number, since it uses less digits than its factorization.

10270204200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68848 (or 68836 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The spelling of 10270204200 in words is "ten billion, two hundred seventy million, two hundred four thousand, two hundred".