10023200 has 144 divisors (see below), whose sum is σ = 28685664. Its totient is φ = 3379200.

The previous prime is 10023197. The next prime is 10023253. The reversal of 10023200 is 232001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149567 + ... + 149633.

It is an arithmetic number, because the mean of its divisors is an integer number (199206).

Almost surely, 2^10023200 is an apocalyptic number.

10023200 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 10023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14342832).

10023200 is an abundant number, since it is smaller than the sum of its proper divisors (18662464).

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

10023200 is a wasteful number, since it uses less digits than its factorization.

10023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 10023200 is about 3165.9437771382. The cubic root of 10023200 is about 215.6099499403.

Adding to 10023200 its reverse (232001), we get a palindrome (10255201).

The spelling of 10023200 in words is "ten million, twenty-three thousand, two hundred".