10364200 has 96 divisors (see below), whose sum is σ = 30087360. Its totient is φ = 3225600.

The previous prime is 10364197. The next prime is 10364201. The reversal of 10364200 is 246301.

It is a super-3 number, since 3×10364200³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10364201) 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, 15064 + ... + 15736.

It is an arithmetic number, because the mean of its divisors is an integer number (313410).

Almost surely, 2^10364200 is an apocalyptic number.

10364200 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 10364200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15043680).

10364200 is an abundant number, since it is smaller than the sum of its proper divisors (19723160).

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

10364200 is a wasteful number, since it uses less digits than its factorization.

10364200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 10364200 is about 3219.3477600284. The cubic root of 10364200 is about 218.0278279993.

The spelling of 10364200 in words is "ten million, three hundred sixty-four thousand, two hundred".