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105782293 is a prime number
BaseRepresentation
bin1100100111000…
…01110000010101
321101001022000201
412103201300111
5204040013133
614255140501
72423064121
oct623416025
9241038021
10105782293
1154790891
122b514731
1318bb9696
1410098581
159447d7d
hex64e1c15

105782293 has 2 divisors, whose sum is σ = 105782294. Its totient is φ = 105782292.

The previous prime is 105782263. The next prime is 105782387. The reversal of 105782293 is 392287501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68840209 + 36942084 = 8297^2 + 6078^2 .

It is an emirp because it is prime and its reverse (392287501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105782293 is a prime.

It is a super-2 number, since 2×1057822932 = 22379787024675698, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105782203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52891146 + 52891147.

It is an arithmetic number, because the mean of its divisors is an integer number (52891147).

Almost surely, 2105782293 is an apocalyptic number.

It is an amenable number.

105782293 is a deficient number, since it is larger than the sum of its proper divisors (1).

105782293 is an equidigital number, since it uses as much as digits as its factorization.

105782293 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 105782293 is about 10285.0519201412. The cubic root of 105782293 is about 472.9381253922.

The spelling of 105782293 in words is "one hundred five million, seven hundred eighty-two thousand, two hundred ninety-three".