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105322823 is a prime number
BaseRepresentation
bin1100100011100…
…01100101000111
321100011221202022
412101301211013
5203430312243
614241233355
72416141424
oct621614507
9240157668
10105322823
11544a7661
122b33285b
1318a884c8
14ddb8d4b
1593a6b68
hex6471947

105322823 has 2 divisors, whose sum is σ = 105322824. Its totient is φ = 105322822.

The previous prime is 105322813. The next prime is 105322843. The reversal of 105322823 is 328223501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105322823 - 222 = 101128519 is a prime.

It is a super-2 number, since 2×1053228232 = 22185794089378658, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105322792 and 105322801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105322813) 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 as a sum of consecutive naturals, namely, 52661411 + 52661412.

It is an arithmetic number, because the mean of its divisors is an integer number (52661412).

Almost surely, 2105322823 is an apocalyptic number.

105322823 is a deficient number, since it is larger than the sum of its proper divisors (1).

105322823 is an equidigital number, since it uses as much as digits as its factorization.

105322823 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 105322823 is about 10262.6908264841. The cubic root of 105322823 is about 472.2523891368.

The spelling of 105322823 in words is "one hundred five million, three hundred twenty-two thousand, eight hundred twenty-three".