102530200 has 48 divisors (see below), whose sum is σ = 242451000. Its totient is φ = 40312320.

The previous prime is 102530123. The next prime is 102530201. The reversal of 102530200 is 2035201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102530201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7456 + ... + 16144.

Almost surely, 2^102530200 is an apocalyptic number.

102530200 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 102530200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121225500).

102530200 is an abundant number, since it is smaller than the sum of its proper divisors (139920800).

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

102530200 is a wasteful number, since it uses less digits than its factorization.

102530200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8764 (or 8755 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 102530200 is about 10125.7197275058. The cubic root of 102530200 is about 468.0410390875.

Adding to 102530200 its reverse (2035201), we get a palindrome (104565401).

The spelling of 102530200 in words is "one hundred two million, five hundred thirty thousand, two hundred".