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105324621 = 3532332843
BaseRepresentation
bin1100100011100…
…10000001001101
321100012001012220
412101302001031
5203430341441
614241245553
72416146603
oct621620115
9240161186
10105324621
11544a8a46
122b3338b9
1318a8927c
14ddb9873
1593a7466
hex647204d

105324621 has 16 divisors (see below), whose sum is σ = 143747136. Its totient is φ = 68571776.

The previous prime is 105324601. The next prime is 105324623. The reversal of 105324621 is 126423501.

It is a cyclic number.

It is not a de Polignac number, because 105324621 - 222 = 101130317 is a prime.

It is a super-2 number, since 2×1053246212 = 22186551577587282, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 105324591 and 105324600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105324623) 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 15 ways as a sum of consecutive naturals, for example, 35626 + ... + 38468.

It is an arithmetic number, because the mean of its divisors is an integer number (8984196).

Almost surely, 2105324621 is an apocalyptic number.

It is an amenable number.

105324621 is a deficient number, since it is larger than the sum of its proper divisors (38422515).

105324621 is a wasteful number, since it uses less digits than its factorization.

105324621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 105324621 is about 10262.7784249686. The cubic root of 105324621 is about 472.2550764459.

The spelling of 105324621 in words is "one hundred five million, three hundred twenty-four thousand, six hundred twenty-one".

Divisors: 1 3 53 159 233 699 2843 8529 12349 37047 150679 452037 662419 1987257 35108207 105324621