102488320 has 144 divisors (see below), whose sum is σ = 278147520. Its totient is φ = 35840000.

The previous prime is 102488297. The next prime is 102488327. The reversal of 102488320 is 23884201.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102488327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408195 + ... + 408445.

It is an arithmetic number, because the mean of its divisors is an integer number (1931580).

Almost surely, 2^102488320 is an apocalyptic number.

102488320 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 102488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139073760).

102488320 is an abundant number, since it is smaller than the sum of its proper divisors (175659200).

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

102488320 is a wasteful number, since it uses less digits than its factorization.

102488320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 102488320 is about 10123.6515151402. The cubic root of 102488320 is about 467.9773042784.

The spelling of 102488320 in words is "one hundred two million, four hundred eighty-eight thousand, three hundred twenty".