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106557461 is a prime number
BaseRepresentation
bin1100101100111…
…11000000010101
321102111200100122
412112133000111
5204234314321
614323521325
72432503103
oct626370025
9242450318
10106557461
115517021a
122b829245
13190cb46a
141021ac73
15954c8ab
hex659f015

106557461 has 2 divisors, whose sum is σ = 106557462. Its totient is φ = 106557460.

The previous prime is 106557457. The next prime is 106557467. The reversal of 106557461 is 164755601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92352100 + 14205361 = 9610^2 + 3769^2 .

It is a cyclic number.

It is not a de Polignac number, because 106557461 - 22 = 106557457 is a prime.

It is a super-2 number, since 2×1065574612 = 22708984989533042, 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 (106557467) 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, 53278730 + 53278731.

It is an arithmetic number, because the mean of its divisors is an integer number (53278731).

Almost surely, 2106557461 is an apocalyptic number.

It is an amenable number.

106557461 is a deficient number, since it is larger than the sum of its proper divisors (1).

106557461 is an equidigital number, since it uses as much as digits as its factorization.

106557461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 106557461 is about 10322.6673394041. The cubic root of 106557461 is about 474.0905382905.

The spelling of 106557461 in words is "one hundred six million, five hundred fifty-seven thousand, four hundred sixty-one".