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108801 = 32711157
BaseRepresentation
bin11010100100000001
312112020200
4122210001
511440201
62155413
7632130
oct324401
9175220
10108801
1174820
1252b69
133a6a4
142b917
1522386
hex1a901

108801 has 24 divisors (see below), whose sum is σ = 197184. Its totient is φ = 56160.

The previous prime is 108799. The next prime is 108803.

108801 = 502 + 512 + ... + 762.

108801 = 163 + 173 + ... + 263.

It is a happy number.

108801 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (108799) and next prime (108803).

It is not a de Polignac number, because 108801 - 21 = 108799 is a prime.

108801 is a strobogrammatic number because it is the same when read upside-down.

It is not an unprimeable number, because it can be changed into a prime (108803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 615 + ... + 771.

It is an arithmetic number, because the mean of its divisors is an integer number (8216).

2108801 is an apocalyptic number.

108801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

108801 is a deficient number, since it is larger than the sum of its proper divisors (88383).

108801 is a wasteful number, since it uses less digits than its factorization.

108801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 178 counting only the distinct ones).

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

The square root of 108801 is about 329.8499658936. The cubic root of 108801 is about 47.7394739368.

It can be divided in two parts, 108 and 801, that added together give a palindrome (909).

The spelling of 108801 in words is "one hundred eight thousand, eight hundred one".

Divisors: 1 3 7 9 11 21 33 63 77 99 157 231 471 693 1099 1413 1727 3297 5181 9891 12089 15543 36267 108801