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105323501 is a prime number
BaseRepresentation
bin1100100011100…
…01101111101101
321100011222200102
412101301233231
5203430323001
614241240445
72416143413
oct621615755
9240158612
10105323501
11544a8118
122b333125
1318a888ca
14ddb92b3
1593a6e6b
hex6471bed

105323501 has 2 divisors, whose sum is σ = 105323502. Its totient is φ = 105323500.

The previous prime is 105323429. The next prime is 105323521.

105323501 is nontrivially palindromic in base 10.

It is an a-pointer prime, because the next prime (105323521) can be obtained adding 105323501 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75238276 + 30085225 = 8674^2 + 5485^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105323501 is a prime.

It is a super-2 number, since 2×1053235012 = 22186079725794002, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105323521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52661750 + 52661751.

It is an arithmetic number, because the mean of its divisors is an integer number (52661751).

Almost surely, 2105323501 is an apocalyptic number.

It is an amenable number.

105323501 is a deficient number, since it is larger than the sum of its proper divisors (1).

105323501 is an equidigital number, since it uses as much as digits as its factorization.

105323501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 105323501 is about 10262.7238587034. The cubic root of 105323501 is about 472.2534024861.

The spelling of 105323501 in words is "one hundred five million, three hundred twenty-three thousand, five hundred one".