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105917341 is a prime number
BaseRepresentation
bin1100101000000…
…10101110011101
321101022011021111
412110002232131
5204103323331
614302102021
72424165625
oct624025635
9241264244
10105917341
11548732a2
122b57a911
1318c35caa
14100d1885
159472db1
hex6502b9d

105917341 has 2 divisors, whose sum is σ = 105917342. Its totient is φ = 105917340.

The previous prime is 105917311. The next prime is 105917363. The reversal of 105917341 is 143719501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100922116 + 4995225 = 10046^2 + 2235^2 .

It is a cyclic number.

It is not a de Polignac number, because 105917341 - 219 = 105393053 is a prime.

It is a super-2 number, since 2×1059173412 = 22436966249020562, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105917311) 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, 52958670 + 52958671.

It is an arithmetic number, because the mean of its divisors is an integer number (52958671).

Almost surely, 2105917341 is an apocalyptic number.

It is an amenable number.

105917341 is a deficient number, since it is larger than the sum of its proper divisors (1).

105917341 is an equidigital number, since it uses as much as digits as its factorization.

105917341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 105917341 is about 10291.6150821919. The cubic root of 105917341 is about 473.1393001686.

The spelling of 105917341 in words is "one hundred five million, nine hundred seventeen thousand, three hundred forty-one".