102331200 has 84 divisors (see below), whose sum is σ = 335747360. Its totient is φ = 27287040.

The previous prime is 102331183. The next prime is 102331213. The reversal of 102331200 is 2133201.

It is a happy number.

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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5860 + ... + 15459.

Almost surely, 2^102331200 is an apocalyptic number.

102331200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102331200 is an abundant number, since it is smaller than the sum of its proper divisors (233416160).

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

102331200 is a wasteful number, since it uses less digits than its factorization.

102331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21344 (or 21329 counting only the distinct ones).

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

The square root of 102331200 is about 10115.8884928611. Note that the first 3 decimals coincide. The cubic root of 102331200 is about 467.7380373373.

Adding to 102331200 its reverse (2133201), we get a palindrome (104464401).

It can be divided in two parts, 1023 and 31200, that added together give a palindrome (32223).

The spelling of 102331200 in words is "one hundred two million, three hundred thirty-one thousand, two hundred".