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105343501 is a prime number
BaseRepresentation
bin1100100011101…
…10101000001101
321100020000010011
412101312220031
5203431443001
614241513221
72416255624
oct621665015
9240200104
10105343501
115451114a
122b342811
1318a94a43
14ddc26bb
1593acd51
hex6476a0d

105343501 has 2 divisors, whose sum is σ = 105343502. Its totient is φ = 105343500.

The previous prime is 105343499. The next prime is 105343531.

It is a happy number.

105343501 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77264100 + 28079401 = 8790^2 + 5299^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 105343501 - 21 = 105343499 is a prime.

It is a super-2 number, since 2×1053435012 = 22194506405874002, which contains 22 as substring.

Together with 105343499, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105343531) 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, 52671750 + 52671751.

It is an arithmetic number, because the mean of its divisors is an integer number (52671751).

Almost surely, 2105343501 is an apocalyptic number.

It is an amenable number.

105343501 is a deficient number, since it is larger than the sum of its proper divisors (1).

105343501 is an equidigital number, since it uses as much as digits as its factorization.

105343501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 105343501 is about 10263.6982126327. The cubic root of 105343501 is about 472.2832928403.

The spelling of 105343501 in words is "one hundred five million, three hundred forty-three thousand, five hundred one".