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106214544589 is a prime number
BaseRepresentation
bin110001011101011100…
…0010101010011001101
3101011011021101220202211
41202322320111103031
53220011410411324
6120443322150421
710450044506206
oct1427270252315
9334137356684
10106214544589
114105538346a
1218703052411
13a029185a6a
1451d855a5ad
152b69b01294
hex18bae154cd

106214544589 has 2 divisors, whose sum is σ = 106214544590. Its totient is φ = 106214544588.

The previous prime is 106214544581. The next prime is 106214544661. The reversal of 106214544589 is 985445412601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66194542089 + 40020002500 = 257283^2 + 200050^2 .

It is a cyclic number.

It is not a de Polignac number, because 106214544589 - 23 = 106214544581 is a prime.

It is a super-2 number, since 2×1062145445892 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106214544581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53107272294 + 53107272295.

It is an arithmetic number, because the mean of its divisors is an integer number (53107272295).

Almost surely, 2106214544589 is an apocalyptic number.

It is an amenable number.

106214544589 is a deficient number, since it is larger than the sum of its proper divisors (1).

106214544589 is an equidigital number, since it uses as much as digits as its factorization.

106214544589 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1382400, while the sum is 49.

The spelling of 106214544589 in words is "one hundred six billion, two hundred fourteen million, five hundred forty-four thousand, five hundred eighty-nine".