288800101 has 8 divisors (see below), whose sum is σ = 295637760. Its totient is φ = 281991408.

The previous prime is 288800053. The next prime is 288800129. The reversal of 288800101 is 101008882.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 288800101 - 2¹¹ = 288798053 is a prime.

It is a super-2 number, since 2×288800101² = 166810996675220402, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 288800101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288800201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13635 + ... + 27631.

It is an arithmetic number, because the mean of its divisors is an integer number (36954720).

Almost surely, 2^288800101 is an apocalyptic number.

It is an amenable number.

288800101 is a deficient number, since it is larger than the sum of its proper divisors (6837659).

288800101 is a wasteful number, since it uses less digits than its factorization.

288800101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14483.

The product of its (nonzero) digits is 1024, while the sum is 28.

The square root of 288800101 is about 16994.1196006148. The cubic root of 288800101 is about 660.9964295412.

Adding to 288800101 its reverse (101008882), we get a palindrome (389808983).

The spelling of 288800101 in words is "two hundred eighty-eight million, eight hundred thousand, one hundred one".