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105906293 is a prime number
BaseRepresentation
bin1100101000000…
…00000001110101
321101021121010022
412110000001311
5204103000133
614301534525
72424121463
oct624000165
9241247108
10105906293
1154865a69
122b574445
1318c30c5c
14100cb833
15946e998
hex6500075

105906293 has 2 divisors, whose sum is σ = 105906294. Its totient is φ = 105906292.

The previous prime is 105906287. The next prime is 105906301. The reversal of 105906293 is 392609501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73393489 + 32512804 = 8567^2 + 5702^2 .

It is an emirp because it is prime and its reverse (392609501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105906293 - 28 = 105906037 is a prime.

It is a super-2 number, since 2×1059062932 = 22432285794003698, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105906233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52953146 + 52953147.

It is an arithmetic number, because the mean of its divisors is an integer number (52953147).

Almost surely, 2105906293 is an apocalyptic number.

It is an amenable number.

105906293 is a deficient number, since it is larger than the sum of its proper divisors (1).

105906293 is an equidigital number, since it uses as much as digits as its factorization.

105906293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14580, while the sum is 35.

The square root of 105906293 is about 10291.0783205649. The cubic root of 105906293 is about 473.1228488973.

The spelling of 105906293 in words is "one hundred five million, nine hundred six thousand, two hundred ninety-three".