102632320 has 128 divisors (see below), whose sum is σ = 289843200. Its totient is φ = 34007040.

The previous prime is 102632293. The next prime is 102632401. The reversal of 102632320 is 23236201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138511 + ... + 139249.

It is an arithmetic number, because the mean of its divisors is an integer number (2264400).

Almost surely, 2^102632320 is an apocalyptic number.

102632320 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 102632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144921600).

102632320 is an abundant number, since it is smaller than the sum of its proper divisors (187210880).

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

102632320 is an equidigital number, since it uses as much as digits as its factorization.

102632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 102632320 is about 10130.7610770366. The cubic root of 102632320 is about 468.1963770312.

Adding to 102632320 its reverse (23236201), we get a palindrome (125868521).

The spelling of 102632320 in words is "one hundred two million, six hundred thirty-two thousand, three hundred twenty".