10253107200 has 432 divisors, whose sum is σ = 39006878400. Its totient is φ = 2327838720.

The previous prime is 10253107177. The next prime is 10253107229. The reversal of 10253107200 is 270135201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68812726 + ... + 68812874.

It is an arithmetic number, because the mean of its divisors is an integer number (90293700).

Almost surely, 2^10253107200 is an apocalyptic number.

10253107200 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 10253107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19503439200).

10253107200 is an abundant number, since it is smaller than the sum of its proper divisors (28753771200).

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

10253107200 is an frugal number, since it uses more digits than its factorization.

10253107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The spelling of 10253107200 in words is "ten billion, two hundred fifty-three million, one hundred seven thousand, two hundred".