101808 has 60 divisors (see below), whose sum is σ = 328848. Its totient is φ = 28800.

The previous prime is 101807. The next prime is 101833. The reversal of 101808 is 808101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 958 + ... + 1058.

2¹⁰¹⁸⁰⁸ is an apocalyptic number.

101808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164424).

101808 is an abundant number, since it is smaller than the sum of its proper divisors (227040).

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

101808 is a wasteful number, since it uses less digits than its factorization.

101808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 101808 is about 319.0736592074. The cubic root of 101808 is about 46.6939522972.

Adding to 101808 its reverse (808101), we get a palindrome (909909).

It can be divided in two parts, 101 and 808, that added together give a palindrome (909).

The spelling of 101808 in words is "one hundred one thousand, eight hundred eight".