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104160 = 2535731
BaseRepresentation
bin11001011011100000
312021212210
4121123200
511313120
62122120
7612450
oct313340
9167783
10104160
1171291
1250340
1338544
1429d60
1520ce0
hex196e0

104160 has 96 divisors (see below), whose sum is σ = 387072. Its totient is φ = 23040.

The previous prime is 104149. The next prime is 104161. The reversal of 104160 is 61401.

Adding to 104160 its reverse (61401), we get a palindrome (165561).

104160 = T169 + T170 + ... + T175.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104161) by changing a digit.

104160 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 15 ways as a sum of consecutive naturals, for example, 3345 + ... + 3375.

It is an arithmetic number, because the mean of its divisors is an integer number (4032).

2104160 is an apocalyptic number.

104160 is a gapful number since it is divisible by the number (10) 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 104160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536).

104160 is an abundant number, since it is smaller than the sum of its proper divisors (282912).

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

104160 is a wasteful number, since it uses less digits than its factorization.

104160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 104160 is about 322.7382840631. The cubic root of 104160 is about 47.0507976509.

The spelling of 104160 in words is "one hundred four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 32 35 40 42 48 56 60 62 70 80 84 93 96 105 112 120 124 140 155 160 168 186 210 217 224 240 248 280 310 336 372 420 434 465 480 496 560 620 651 672 744 840 868 930 992 1085 1120 1240 1302 1488 1680 1736 1860 2170 2480 2604 2976 3255 3360 3472 3720 4340 4960 5208 6510 6944 7440 8680 10416 13020 14880 17360 20832 26040 34720 52080 104160