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104661063 = 32131923289
BaseRepresentation
bin1100011110100…
…00000001000111
321021221022222200
412033100001013
5203243123223
614215125543
72410414203
oct617200107
9237838880
10104661063
1154095451
122b0738b3
13188b6230
14dc85b03
1592c5a43
hex63d0047

104661063 has 72 divisors (see below), whose sum is σ = 181162800. Its totient is φ = 57708288.

The previous prime is 104661059. The next prime is 104661077. The reversal of 104661063 is 360166401.

104661063 is a `hidden beast` number, since 1 + 0 + 46 + 610 + 6 + 3 = 666.

It is not a de Polignac number, because 104661063 - 22 = 104661059 is a prime.

It is a super-3 number, since 3×1046610633 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104661083) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1175923 + ... + 1176011.

It is an arithmetic number, because the mean of its divisors is an integer number (2516150).

Almost surely, 2104661063 is an apocalyptic number.

104661063 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

104661063 is a deficient number, since it is larger than the sum of its proper divisors (76501737).

104661063 is a wasteful number, since it uses less digits than its factorization.

104661063 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 104661063 is about 10230.3989658273. The cubic root of 104661063 is about 471.2612314772.

The spelling of 104661063 in words is "one hundred four million, six hundred sixty-one thousand, sixty-three".

Divisors: 1 3 9 13 19 23 39 57 69 89 117 171 207 247 267 299 437 529 741 801 897 1157 1311 1587 1691 2047 2223 2691 3471 3933 4761 5073 5681 6141 6877 10051 10413 15219 17043 18423 20631 21983 26611 30153 38893 47081 51129 61893 65949 79833 90459 116679 130663 141243 197847 239499 350037 391989 423729 505609 612053 894539 1175967 1516827 1836159 2683617 4550481 5508477 8050851 11629007 34887021 104661063