102313200 has 240 divisors, whose sum is σ = 374190336. Its totient is φ = 23654400.

The previous prime is 102313199. The next prime is 102313217. The reversal of 102313200 is 2313201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303432 + ... + 303768.

Almost surely, 2^102313200 is an apocalyptic number.

102313200 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 102313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187095168).

102313200 is an abundant number, since it is smaller than the sum of its proper divisors (271877136).

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

102313200 is a wasteful number, since it uses less digits than its factorization.

102313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 381 counting only the distinct ones).

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

The square root of 102313200 is about 10114.9987642115. The cubic root of 102313200 is about 467.7106107773.

Adding to 102313200 its reverse (2313201), we get a palindrome (104626401).

Subtracting from 102313200 its reverse (2313201), we obtain a palindrome (99999999).

It can be divided in two parts, 10231 and 3200, that added together give a palindrome (13431).

The spelling of 102313200 in words is "one hundred two million, three hundred thirteen thousand, two hundred".