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106566461 is a prime number
BaseRepresentation
bin1100101101000…
…01001100111101
321102112010200222
412112201030331
5204240111321
614324031125
72432541251
oct626411475
9242463628
10106566461
1155176a61
122b8324a5
13191025a1
1410220261
1595503ab
hex65a133d

106566461 has 2 divisors, whose sum is σ = 106566462. Its totient is φ = 106566460.

The previous prime is 106566457. The next prime is 106566479. The reversal of 106566461 is 164665601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80658361 + 25908100 = 8981^2 + 5090^2 .

It is a cyclic number.

It is not a de Polignac number, because 106566461 - 22 = 106566457 is a prime.

It is a super-2 number, since 2×1065664612 = 22712821220129042, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106566661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53283230 + 53283231.

It is an arithmetic number, because the mean of its divisors is an integer number (53283231).

Almost surely, 2106566461 is an apocalyptic number.

It is an amenable number.

106566461 is a deficient number, since it is larger than the sum of its proper divisors (1).

106566461 is an equidigital number, since it uses as much as digits as its factorization.

106566461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 106566461 is about 10323.1032640384. The cubic root of 106566461 is about 474.1038853763.

The spelling of 106566461 in words is "one hundred six million, five hundred sixty-six thousand, four hundred sixty-one".