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106010501609 is a prime number
BaseRepresentation
bin110001010111010110…
…1111110000111101001
3101010122001110110102102
41202232231332013221
53214102142022414
6120411152543145
710442016252545
oct1425655760751
9333561413372
10106010501609
1140a60189a01
1218666851ab5
139cc5b1447c
1451b9404a25
152b56c48ede
hex18aeb7e1e9

106010501609 has 2 divisors, whose sum is σ = 106010501610. Its totient is φ = 106010501608.

The previous prime is 106010501587. The next prime is 106010501621. The reversal of 106010501609 is 906105010601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79075127209 + 26935374400 = 281203^2 + 164120^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106010501609 is a prime.

It is a super-2 number, since 2×1060105016092 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (106010101609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53005250804 + 53005250805.

It is an arithmetic number, because the mean of its divisors is an integer number (53005250805).

Almost surely, 2106010501609 is an apocalyptic number.

It is an amenable number.

106010501609 is a deficient number, since it is larger than the sum of its proper divisors (1).

106010501609 is an equidigital number, since it uses as much as digits as its factorization.

106010501609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1620, while the sum is 29.

The spelling of 106010501609 in words is "one hundred six billion, ten million, five hundred one thousand, six hundred nine".