102530000 has 50 divisors (see below), whose sum is σ = 248259594. Its totient is φ = 41008000.

The previous prime is 102529991. The next prime is 102530003. The reversal of 102530000 is 35201.

It can be written as a sum of positive squares in 5 ways, for example, as 62283664 + 40246336 = 7892^2 + 6344^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102530003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4874 + ... + 15126.

Almost surely, 2^102530000 is an apocalyptic number.

102530000 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 102530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124129797).

102530000 is an abundant number, since it is smaller than the sum of its proper divisors (145729594).

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

102530000 is an equidigital number, since it uses as much as digits as its factorization.

102530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10281 (or 10260 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 102530000 is about 10125.7098516598. The cubic root of 102530000 is about 468.0407347600.

Adding to 102530000 its reverse (35201), we get a palindrome (102565201).

The spelling of 102530000 in words is "one hundred two million, five hundred thirty thousand".