102530688 has 256 divisors, whose sum is σ = 329011200. Its totient is φ = 27979776.

The previous prime is 102530683. The next prime is 102530713. The reversal of 102530688 is 886035201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102530683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2181481 + ... + 2181527.

It is an arithmetic number, because the mean of its divisors is an integer number (1285200).

Almost surely, 2^102530688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102530688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164505600).

102530688 is an abundant number, since it is smaller than the sum of its proper divisors (226480512).

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

102530688 is a wasteful number, since it uses less digits than its factorization.

102530688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 102530688 is about 10125.7438245296. The cubic root of 102530688 is about 468.0417816449.

Adding to 102530688 its reverse (886035201), we get a palindrome (988565889).

It can be divided in two parts, 1025 and 30688, that added together give a palindrome (31713).

The spelling of 102530688 in words is "one hundred two million, five hundred thirty thousand, six hundred eighty-eight".