102123200 has 84 divisors (see below), whose sum is σ = 254645160. Its totient is φ = 40304640.

The previous prime is 102123187. The next prime is 102123223. The reversal of 102123200 is 2321201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132416 + ... + 133184.

It is an arithmetic number, because the mean of its divisors is an integer number (3031490).

Almost surely, 2^102123200 is an apocalyptic number.

102123200 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 102123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127322580).

102123200 is an abundant number, since it is smaller than the sum of its proper divisors (152521960).

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

102123200 is an equidigital number, since it uses as much as digits as its factorization.

102123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 102123200 is about 10105.6024065862. The cubic root of 102123200 is about 467.4209118216.

Adding to 102123200 its reverse (2321201), we get a palindrome (104444401).

The spelling of 102123200 in words is "one hundred two million, one hundred twenty-three thousand, two hundred".