10152200 has 48 divisors (see below), whose sum is σ = 24641280. Its totient is φ = 3882560.

The previous prime is 10152199. The next prime is 10152209. The reversal of 10152200 is 225101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10152209) 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, 3497 + ... + 5703.

It is an arithmetic number, because the mean of its divisors is an integer number (513360).

Almost surely, 2^10152200 is an apocalyptic number.

10152200 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 10152200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12320640).

10152200 is an abundant number, since it is smaller than the sum of its proper divisors (14489080).

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

10152200 is a wasteful number, since it uses less digits than its factorization.

10152200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2246 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 10152200 is about 3186.2517163589. The cubic root of 10152200 is about 216.5309867163.

Adding to 10152200 its reverse (225101), we get a palindrome (10377301).

The spelling of 10152200 in words is "ten million, one hundred fifty-two thousand, two hundred".