10132200 has 144 divisors (see below), whose sum is σ = 36729420. Its totient is φ = 2488320.

The previous prime is 10132193. The next prime is 10132211. The reversal of 10132200 is 223101.

It is a happy number.

10132200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 509796 + 9622404 = 714^2 + 3102^2 .

It is a super-2 number, since 2×10132200² = 205322953680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 15.

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, 23184 + ... + 23616.

Almost surely, 2^10132200 is an apocalyptic number.

10132200 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 10132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18364710).

10132200 is an abundant number, since it is smaller than the sum of its proper divisors (26597220).

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

10132200 is a wasteful number, since it uses less digits than its factorization.

10132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10132200 is about 3183.1116851282. Note that the first 3 decimals coincide. The cubic root of 10132200 is about 216.3887033804.

10132200 divided by its product of nonzero digits (12) gives a triangular number (844350 = T₁₂₉₉).

Adding to 10132200 its reverse (223101), we get a palindrome (10355301).

Subtracting from 10132200 its reverse (223101), we obtain a palindrome (9909099).

The spelling of 10132200 in words is "ten million, one hundred thirty-two thousand, two hundred".