102115200 has 192 divisors, whose sum is σ = 367297920. Its totient is φ = 24729600.

The previous prime is 102115199. The next prime is 102115207. The reversal of 102115200 is 2511201.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102115207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105117 + ... + 106083.

It is an arithmetic number, because the mean of its divisors is an integer number (1913010).

Almost surely, 2^102115200 is an apocalyptic number.

102115200 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 102115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183648960).

102115200 is an abundant number, since it is smaller than the sum of its proper divisors (265182720).

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

102115200 is a wasteful number, since it uses less digits than its factorization.

102115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 102115200 is about 10105.2065787890. The cubic root of 102115200 is about 467.4087060906.

Adding to 102115200 its reverse (2511201), we get a palindrome (104626401).

The spelling of 102115200 in words is "one hundred two million, one hundred fifteen thousand, two hundred".