100288 has 14 divisors (see below), whose sum is σ = 199136. Its totient is φ = 50112.

The previous prime is 100279. The next prime is 100291. The reversal of 100288 is 882001.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 720 + ... + 847.

It is an arithmetic number, because the mean of its divisors is an integer number (14224).

2¹⁰⁰²⁸⁸ is an apocalyptic number.

It is an amenable number.

100288 is a deficient number, since it is larger than the sum of its proper divisors (98848).

100288 is an equidigital number, since it uses as much as digits as its factorization.

100288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 100288 is about 316.6828066062. The cubic root of 100288 is about 46.4604048804.

Adding to 100288 its reverse (882001), we get a palindrome (982289).

The spelling of 100288 in words is "one hundred thousand, two hundred eighty-eight".