101888 has 20 divisors (see below), whose sum is σ = 204600. Its totient is φ = 50688.

The previous prime is 101879. The next prime is 101891. The reversal of 101888 is 888101.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101888.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413 + ... + 611.

It is an arithmetic number, because the mean of its divisors is an integer number (10230).

2¹⁰¹⁸⁸⁸ 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 101888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102300).

101888 is an abundant number, since it is smaller than the sum of its proper divisors (102712).

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

101888 is an frugal number, since it uses more digits than its factorization.

101888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 26.

The square root of 101888 is about 319.1989974922. The cubic root of 101888 is about 46.7061796865.

Adding to 101888 its product of nonzero digits (512), we get a square (102400 = 320²).

Adding to 101888 its reverse (888101), we get a palindrome (989989).

It can be divided in two parts, 101 and 888, that added together give a palindrome (989).

The spelling of 101888 in words is "one hundred one thousand, eight hundred eighty-eight".