100887288 has 64 divisors (see below), whose sum is σ = 267062400. Its totient is φ = 31704960.

The previous prime is 100887287. The next prime is 100887313. The reversal of 100887288 is 882788001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100887287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28243 + ... + 31613.

It is an arithmetic number, because the mean of its divisors is an integer number (4172850).

Almost surely, 2^100887288 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 100887288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133531200).

100887288 is an abundant number, since it is smaller than the sum of its proper divisors (166175112).

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

100887288 is a wasteful number, since it uses less digits than its factorization.

100887288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452 (or 3448 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 42.

The square root of 100887288 is about 10044.2664241845. The cubic root of 100887288 is about 465.5276516936.

The spelling of 100887288 in words is "one hundred million, eight hundred eighty-seven thousand, two hundred eighty-eight".