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106264916209 is a prime number
BaseRepresentation
bin110001011110111100…
…0011111000011110001
3101011021210012001122101
41202331320133003301
53220112304304314
6120452321540401
710451225612224
oct1427570370361
9334253161571
10106264916209
1141080858401
1218717aa4701
13a03674135a
14520110d5bb
152b6e251174
hex18bde1f0f1

106264916209 has 2 divisors, whose sum is σ = 106264916210. Its totient is φ = 106264916208.

The previous prime is 106264916201. The next prime is 106264916237. The reversal of 106264916209 is 902619462601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93966771600 + 12298144609 = 306540^2 + 110897^2 .

It is a cyclic number.

It is not a de Polignac number, because 106264916209 - 23 = 106264916201 is a prime.

It is a super-2 number, since 2×1062649162092 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106264916201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53132458104 + 53132458105.

It is an arithmetic number, because the mean of its divisors is an integer number (53132458105).

Almost surely, 2106264916209 is an apocalyptic number.

It is an amenable number.

106264916209 is a deficient number, since it is larger than the sum of its proper divisors (1).

106264916209 is an equidigital number, since it uses as much as digits as its factorization.

106264916209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 279936, while the sum is 46.

The spelling of 106264916209 in words is "one hundred six billion, two hundred sixty-four million, nine hundred sixteen thousand, two hundred nine".