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105476121 = 33113181191
BaseRepresentation
bin1100100100101…
…11000000011001
321100110202001000
412102113000121
5204000213441
614244415213
72420350362
oct622270031
9240422030
10105476121
11545a1853
122b3a7509
1318b1020a
1410018b69
1593d72b6
hex6497019

105476121 has 32 divisors (see below), whose sum is σ = 159344640. Its totient is φ = 68947200.

The previous prime is 105476117. The next prime is 105476123. The reversal of 105476121 is 121674501.

It is a happy number.

105476121 is a `hidden beast` number, since 1 + 0 + 5 + 47 + 612 + 1 = 666.

It is not a de Polignac number, because 105476121 - 22 = 105476117 is a prime.

It is a super-2 number, since 2×1054761212 = 22250424202413282, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (105476123) 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 31 ways as a sum of consecutive naturals, for example, 552136 + ... + 552326.

It is an arithmetic number, because the mean of its divisors is an integer number (4979520).

Almost surely, 2105476121 is an apocalyptic number.

It is an amenable number.

105476121 is a deficient number, since it is larger than the sum of its proper divisors (53868519).

105476121 is a wasteful number, since it uses less digits than its factorization.

105476121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 105476121 is about 10270.1568147716. The cubic root of 105476121 is about 472.4814001245.

The spelling of 105476121 in words is "one hundred five million, four hundred seventy-six thousand, one hundred twenty-one".

Divisors: 1 3 9 27 113 181 191 339 543 573 1017 1629 1719 3051 4887 5157 20453 21583 34571 61359 64749 103713 184077 194247 311139 552231 582741 933417 3906523 11719569 35158707 105476121