10133200 has 180 divisors, whose sum is σ = 31551552. Its totient is φ = 3091200.

The previous prime is 10133159. The next prime is 10133269. The reversal of 10133200 is 233101.

10133200 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

10133200 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 215577 + ... + 215623.

Almost surely, 2^10133200 is an apocalyptic number.

10133200 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 10133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15775776).

10133200 is an abundant number, since it is smaller than the sum of its proper divisors (21418352).

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

10133200 is a wasteful number, since it uses less digits than its factorization.

10133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 10133200 is about 3183.2687602526. The cubic root of 10133200 is about 216.3958219918.

Adding to 10133200 its reverse (233101), we get a palindrome (10366301).

Subtracting from 10133200 its reverse (233101), we obtain a palindrome (9900099).

The spelling of 10133200 in words is "ten million, one hundred thirty-three thousand, two hundred".