102013200 has 180 divisors, whose sum is σ = 362796720. Its totient is φ = 26530560.

The previous prime is 102013187. The next prime is 102013201. The reversal of 102013200 is 2310201.

It is a happy number.

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 (9).

It is not an unprimeable number, because it can be changed into a prime (102013201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 154471 + ... + 155129.

Almost surely, 2^102013200 is an apocalyptic number.

102013200 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 102013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181398360).

102013200 is an abundant number, since it is smaller than the sum of its proper divisors (260783520).

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

102013200 is a wasteful number, since it uses less digits than its factorization.

102013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 712 counting only the distinct ones).

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

The square root of 102013200 is about 10100.1584145992. The cubic root of 102013200 is about 467.2530271097.

Adding to 102013200 its reverse (2310201), we get a palindrome (104323401).

The spelling of 102013200 in words is "one hundred two million, thirteen thousand, two hundred".