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104540544 = 27353361
BaseRepresentation
bin1100011101100…
…10100110000000
321021201012200000
412032302212000
5203230244134
614212400000
72406402633
oct616624600
9237635600
10104540544
1154012949
122b016000
1318873414
14dc53c1a
15929ee99
hex63b2980

104540544 has 96 divisors (see below), whose sum is σ = 312060840. Its totient is φ = 34836480.

The previous prime is 104540521. The next prime is 104540551. The reversal of 104540544 is 445045401.

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 (27).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 29424 + ... + 32784.

Almost surely, 2104540544 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 104540544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156030420).

104540544 is an abundant number, since it is smaller than the sum of its proper divisors (207520296).

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

104540544 is an frugal number, since it uses more digits than its factorization.

104540544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3390 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 104540544 is about 10224.5070296812. The cubic root of 104540544 is about 471.0802735508.

Adding to 104540544 its reverse (445045401), we get a palindrome (549585945).

The spelling of 104540544 in words is "one hundred four million, five hundred forty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3361 3456 3888 5184 6722 7776 10083 10368 13444 15552 20166 26888 30249 31104 40332 53776 60498 80664 90747 107552 120996 161328 181494 215104 241992 272241 322656 362988 430208 483984 544482 645312 725976 816723 967968 1088964 1290624 1451952 1633446 1935936 2177928 2903904 3266892 3871872 4355856 5807808 6533784 8711712 11615616 13067568 17423424 26135136 34846848 52270272 104540544