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104121612 = 223675101
BaseRepresentation
bin1100011010011…
…00010100001100
321020220221000000
412031030110030
5203123342422
614155404300
72403006360
oct615142414
9236827000
10104121612
1153857121
122aa53690
131875782a
14db852a0
15921acac
hex634c50c

104121612 has 84 divisors (see below), whose sum is σ = 312283216. Its totient is φ = 29743200.

The previous prime is 104121569. The next prime is 104121623. The reversal of 104121612 is 216121401.

104121612 is a `hidden beast` number, since 10 + 41 + 2 + 1 + 612 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 17862 + ... + 22962.

Almost surely, 2104121612 is an apocalyptic number.

104121612 is a gapful number since it is divisible by the number (12) 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 104121612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156141608).

104121612 is an abundant number, since it is smaller than the sum of its proper divisors (208161604).

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

104121612 is an equidigital number, since it uses as much as digits as its factorization.

104121612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5130 (or 5113 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 104121612 is about 10203.9998039984. Note that the first 3 decimals coincide. The cubic root of 104121612 is about 470.4501677544.

The spelling of 104121612 in words is "one hundred four million, one hundred twenty-one thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 729 756 972 1134 1458 1701 2268 2916 3402 5101 5103 6804 10202 10206 15303 20404 20412 30606 35707 45909 61212 71414 91818 107121 137727 142828 183636 214242 275454 321363 413181 428484 550908 642726 826362 964089 1239543 1285452 1652724 1928178 2479086 2892267 3718629 3856356 4958172 5784534 7437258 8676801 11569068 14874516 17353602 26030403 34707204 52060806 104121612