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1085706101 is a prime number
BaseRepresentation
bin100000010110110…
…1000111101110101
32210122221120210002
41000231220331311
54210420043401
6255422241045
735622230624
oct10055507565
92718846702
101085706101
11507942077
12263726185
13143c1785c
14a429b6bb
15654b0a6b
hex40b68f75

1085706101 has 2 divisors, whose sum is σ = 1085706102. Its totient is φ = 1085706100.

The previous prime is 1085706091. The next prime is 1085706107. The reversal of 1085706101 is 1016075801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 827943076 + 257763025 = 28774^2 + 16055^2 .

It is a cyclic number.

It is not a de Polignac number, because 1085706101 - 210 = 1085705077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1085706107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 542853050 + 542853051.

It is an arithmetic number, because the mean of its divisors is an integer number (542853051).

Almost surely, 21085706101 is an apocalyptic number.

It is an amenable number.

1085706101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1085706101 is an equidigital number, since it uses as much as digits as its factorization.

1085706101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1680, while the sum is 29.

The square root of 1085706101 is about 32950.0546433538. The cubic root of 1085706101 is about 1027.7893016608.

The spelling of 1085706101 in words is "one billion, eighty-five million, seven hundred six thousand, one hundred one".