Search a number
-
+
104 = 2313
BaseRepresentation
bin1101000
310212
41220
5404
6252
7206
oct150
9125
10104
1195
1288
1380
1476
156e
hex68

104 has 8 divisors (see below), whose sum is σ = 210. Its totient is φ = 48.

The previous prime is 103. The next prime is 107. The reversal of 104 is 401.

Adding to 104 its reverse (401), we get a palindrome (505).

104 is nontrivially palindromic in base 5, base 6 and base 12.

104 is an esthetic number in base 14, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 100 + 4 = 10^2 + 2^2 .

It is a tau number, because it is divible by the number of its divisors (8).

104 is an admirable number.

104 is an undulating number in base 5 and base 6.

104 is a nontrivial repdigit in base 12.

It is a plaindrome in base 9, base 12, base 15 and base 16.

It is a nialpdrome in base 11, base 12, base 13 and base 14.

It is a zygodrome in base 12.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2 + ... + 14.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105).

104 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

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

With its successor (105) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (15).

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

The sum of its prime factors is 19 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 104 is about 10.1980390272. The cubic root of 104 is about 4.7026693754.

The spelling of 104 in words is "one hundred four", and thus it is an aban number and an iban number.

Divisors: 1 2 4 8 13 26 52 104