102288320 has 56 divisors (see below), whose sum is σ = 257915664. Its totient is φ = 38506496.

The previous prime is 102288299. The next prime is 102288341. The reversal of 102288320 is 23882201.

102288320 = T₃₆₁ + T₃₆₂ + ... + T₈₇₀.

It is an interprime number because it is at equal distance from previous prime (102288299) and next prime (102288341).

It is a self number, because there is not a number n which added to its sum of digits gives 102288320.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3962 + ... + 14841.

Almost surely, 2^102288320 is an apocalyptic number.

102288320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102288320 is an abundant number, since it is smaller than the sum of its proper divisors (155627344).

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

102288320 is a wasteful number, since it uses less digits than its factorization.

102288320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18837 (or 18827 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 102288320 is about 10113.7688326360. The cubic root of 102288320 is about 467.6726958802.

The spelling of 102288320 in words is "one hundred two million, two hundred eighty-eight thousand, three hundred twenty".