10291200 has 144 divisors (see below), whose sum is σ = 34529040. Its totient is φ = 2703360.

The previous prime is 10291199. The next prime is 10291207. The reversal of 10291200 is 219201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10291200.

It is not an unprimeable number, because it can be changed into a prime (10291207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153567 + ... + 153633.

It is an arithmetic number, because the mean of its divisors is an integer number (239785).

Almost surely, 2^10291200 is an apocalyptic number.

10291200 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 10291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17264520).

10291200 is an abundant number, since it is smaller than the sum of its proper divisors (24237840).

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

10291200 is an equidigital number, since it uses as much as digits as its factorization.

10291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 10291200 is about 3207.9900249221. The cubic root of 10291200 is about 217.5147301426.

The spelling of 10291200 in words is "ten million, two hundred ninety-one thousand, two hundred".