10204757200 has 120 divisors (see below), whose sum is σ = 27011726496. Its totient is φ = 3673920000.

The previous prime is 10204757149. The next prime is 10204757207. The reversal of 10204757200 is 275740201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10204757207) by changing a digit.

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, 432919 + ... + 455881.

Almost surely, 2^10204757200 is an apocalyptic number.

10204757200 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 10204757200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13505863248).

10204757200 is an abundant number, since it is smaller than the sum of its proper divisors (16806969296).

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

10204757200 is a wasteful number, since it uses less digits than its factorization.

10204757200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23093 (or 23082 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The spelling of 10204757200 in words is "ten billion, two hundred four million, seven hundred fifty-seven thousand, two hundred".