101004288 has 264 divisors, whose sum is σ = 347236704. Its totient is φ = 25804800.

The previous prime is 101004263. The next prime is 101004289. The reversal of 101004288 is 882400101.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101004289) by changing a digit.

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 in 23 ways as a sum of consecutive naturals, for example, 1655778 + ... + 1655838.

Almost surely, 2^101004288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101004288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173618352).

101004288 is an abundant number, since it is smaller than the sum of its proper divisors (246232416).

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

101004288 is a wasteful number, since it uses less digits than its factorization.

101004288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 101004288 is about 10050.0889548302. The cubic root of 101004288 is about 465.7075412009.

Adding to 101004288 its reverse (882400101), we get a palindrome (983404389).

The spelling of 101004288 in words is "one hundred one million, four thousand, two hundred eighty-eight".