10217200 has 120 divisors (see below), whose sum is σ = 29060640. Its totient is φ = 3379200.

The previous prime is 10217173. The next prime is 10217201. The reversal of 10217200 is 271201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10217201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114756 + ... + 114844.

It is an arithmetic number, because the mean of its divisors is an integer number (242172).

Almost surely, 2^10217200 is an apocalyptic number.

10217200 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 10217200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14530320).

10217200 is an abundant number, since it is smaller than the sum of its proper divisors (18843440).

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

10217200 is a wasteful number, since it uses less digits than its factorization.

10217200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 10217200 is about 3196.4355147570. The cubic root of 10217200 is about 216.9921210161.

Adding to 10217200 its reverse (271201), we get a palindrome (10488401).

The spelling of 10217200 in words is "ten million, two hundred seventeen thousand, two hundred".