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106184743949 is a prime number
BaseRepresentation
bin110001011100100011…
…0101001110000001101
3101011002012022212222102
41202321012221300031
53214431243301244
6120440335324445
710446233300654
oct1427106516015
9334065285872
10106184743949
114103a579839
12186b5080725
13a022c5074b
1451d460019b
152b671b654e
hex18b91a9c0d

106184743949 has 2 divisors, whose sum is σ = 106184743950. Its totient is φ = 106184743948.

The previous prime is 106184743943. The next prime is 106184743969. The reversal of 106184743949 is 949347481601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77218405924 + 28966338025 = 277882^2 + 170195^2 .

It is a cyclic number.

It is not a de Polignac number, because 106184743949 - 212 = 106184739853 is a prime.

It is a super-2 number, since 2×1061847439492 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106184743894 and 106184743903.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106184743943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53092371974 + 53092371975.

It is an arithmetic number, because the mean of its divisors is an integer number (53092371975).

Almost surely, 2106184743949 is an apocalyptic number.

It is an amenable number.

106184743949 is a deficient number, since it is larger than the sum of its proper divisors (1).

106184743949 is an equidigital number, since it uses as much as digits as its factorization.

106184743949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5225472, while the sum is 56.

The spelling of 106184743949 in words is "one hundred six billion, one hundred eighty-four million, seven hundred forty-three thousand, nine hundred forty-nine".