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106410447 = 32111389929
BaseRepresentation
bin1100101011110…
…11000111001111
321102020012200200
412111323013033
5204220113242
614320424543
72431321353
oct625730717
9242205620
10106410447
115507a820
122b778153
1319079580
14101bd463
15951e04c
hex657b1cf

106410447 has 48 divisors (see below), whose sum is σ = 182800800. Its totient is φ = 58798080.

The previous prime is 106410439. The next prime is 106410461. The reversal of 106410447 is 744014601.

106410447 is a `hidden beast` number, since 10 + 641 + 0 + 4 + 4 + 7 = 666.

It is not a de Polignac number, because 106410447 - 23 = 106410439 is a prime.

It is a super-2 number, since 2×1064104472 = 22646366461479618, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106410447.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106410467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114079 + ... + 115007.

It is an arithmetic number, because the mean of its divisors is an integer number (3808350).

Almost surely, 2106410447 is an apocalyptic number.

106410447 is a deficient number, since it is larger than the sum of its proper divisors (76390353).

106410447 is a wasteful number, since it uses less digits than its factorization.

106410447 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 106410447 is about 10315.5439507570. The cubic root of 106410447 is about 473.8724086426.

It can be divided in two parts, 1064 and 10447, that added together give a palindrome (11511).

The spelling of 106410447 in words is "one hundred six million, four hundred ten thousand, four hundred forty-seven".

Divisors: 1 3 9 11 13 33 39 89 99 117 143 267 429 801 929 979 1157 1287 2787 2937 3471 8361 8811 10219 10413 12077 12727 30657 36231 38181 82681 91971 108693 114543 132847 248043 398541 744129 909491 1074853 1195623 2728473 3224559 8185419 9673677 11823383 35470149 106410447