10825200 has 180 divisors, whose sum is σ = 39178048. Its totient is φ = 2764800.

The previous prime is 10825187. The next prime is 10825211. The reversal of 10825200 is 252801.

10825200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 111552 + ... + 111648.

Almost surely, 2^10825200 is an apocalyptic number.

10825200 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 10825200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19589024).

10825200 is an abundant number, since it is smaller than the sum of its proper divisors (28352848).

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

10825200 is a wasteful number, since it uses less digits than its factorization.

10825200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10825200 is about 3290.1671690052. The cubic root of 10825200 is about 221.2136778447.

It can be divided in two parts, 10825 and 200, that added together give a square (11025 = 105²).

The spelling of 10825200 in words is "ten million, eight hundred twenty-five thousand, two hundred".