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103104 = 2632179
BaseRepresentation
bin11001001011000000
312020102200
4121023000
511244404
62113200
7606411
oct311300
9166380
10103104
1170511
124b800
1337c11
1429808
1520839
hex192c0

103104 has 42 divisors (see below), whose sum is σ = 297180. Its totient is φ = 34176.

The previous prime is 103099. The next prime is 103123. The reversal of 103104 is 401301.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103104.

It is an unprimeable number.

103104 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 487 + ... + 665.

2103104 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 103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148590).

103104 is an abundant number, since it is smaller than the sum of its proper divisors (194076).

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

103104 is a wasteful number, since it uses less digits than its factorization.

103104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 103104 is about 321.0981158462. The cubic root of 103104 is about 46.8912530306.

Adding to 103104 its reverse (401301), we get a palindrome (504405).

The spelling of 103104 in words is "one hundred three thousand, one hundred four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 179 192 288 358 537 576 716 1074 1432 1611 2148 2864 3222 4296 5728 6444 8592 11456 12888 17184 25776 34368 51552 103104