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105331364 = 22192947791
BaseRepresentation
bin1100100011100…
…11101010100100
321100012101110122
412101303222210
5203431100424
614241341112
72416205345
oct621635244
9240171418
10105331364
1154503016
122b337798
1318a8c368
14ddbc0cc
1593a945e
hex6473aa4

105331364 has 24 divisors (see below), whose sum is σ = 200726400. Its totient is φ = 48172320.

The previous prime is 105331361. The next prime is 105331379. The reversal of 105331364 is 463133501.

It is a super-2 number, since 2×1053313642 = 22189392484200992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105331361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21692 + ... + 26099.

It is an arithmetic number, because the mean of its divisors is an integer number (8363600).

Almost surely, 2105331364 is an apocalyptic number.

It is an amenable number.

105331364 is a deficient number, since it is larger than the sum of its proper divisors (95395036).

105331364 is a wasteful number, since it uses less digits than its factorization.

105331364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47843 (or 47841 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 105331364 is about 10263.1069369855. The cubic root of 105331364 is about 472.2651543302.

Adding to 105331364 its reverse (463133501), we get a palindrome (568464865).

The spelling of 105331364 in words is "one hundred five million, three hundred thirty-one thousand, three hundred sixty-four".

Divisors: 1 2 4 19 29 38 58 76 116 551 1102 2204 47791 95582 191164 908029 1385939 1816058 2771878 3632116 5543756 26332841 52665682 105331364