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104104 = 23711132
BaseRepresentation
bin11001011010101000
312021210201
4121122220
511312404
62121544
7612340
oct313250
9167721
10104104
1171240
12502b4
1338500
1429d20
1520ca4
hex196a8

104104 has 48 divisors (see below), whose sum is σ = 263520. Its totient is φ = 37440.

The previous prime is 104089. The next prime is 104107. The reversal of 104104 is 401401.

104104 = T120 + T121 + ... + T132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104107) 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, 8002 + ... + 8014.

It is an arithmetic number, because the mean of its divisors is an integer number (5490).

2104104 is an apocalyptic number.

104104 is a gapful number since it is divisible by the number (14) 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 104104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131760).

104104 is an abundant number, since it is smaller than the sum of its proper divisors (159416).

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

104104 is a wasteful number, since it uses less digits than its factorization.

104104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 104104 is about 322.6515147958. The cubic root of 104104 is about 47.0423640967.

Adding to 104104 its reverse (401401), we get a palindrome (505505).

It can be divided in two parts, 10 and 4104, that added together give a palindrome (4114).

The spelling of 104104 in words is "one hundred four thousand, one hundred four", and thus it is an iban number.

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 169 182 286 308 338 364 572 616 676 728 1001 1144 1183 1352 1859 2002 2366 3718 4004 4732 7436 8008 9464 13013 14872 26026 52052 104104