102133200 has 120 divisors (see below), whose sum is σ = 352387168. Its totient is φ = 25136640.

The previous prime is 102133177. The next prime is 102133211. The reversal of 102133200 is 2331201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12327 + ... + 18873.

Almost surely, 2^102133200 is an apocalyptic number.

102133200 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 102133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176193584).

102133200 is an abundant number, since it is smaller than the sum of its proper divisors (250253968).

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

102133200 is a wasteful number, since it uses less digits than its factorization.

102133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6581 (or 6570 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 102133200 is about 10106.0971695309. The cubic root of 102133200 is about 467.4361680891.

Adding to 102133200 its reverse (2331201), we get a palindrome (104464401).

The spelling of 102133200 in words is "one hundred two million, one hundred thirty-three thousand, two hundred".