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105472526149 is a prime number
BaseRepresentation
bin110001000111010100…
…1110000011101000101
3101002020120011110211101
41202032221300131011
53212001431314044
6120241534140101
710422464452144
oct1421651603505
9332216143741
10105472526149
1140804544a91
1218536651631
139c3b5241b3
145167ba575b
152b248cdcd4
hex188ea70745

105472526149 has 2 divisors, whose sum is σ = 105472526150. Its totient is φ = 105472526148.

The previous prime is 105472526083. The next prime is 105472526167. The reversal of 105472526149 is 941625274501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71493133924 + 33979392225 = 267382^2 + 184335^2 .

It is a cyclic number.

It is not a de Polignac number, because 105472526149 - 227 = 105338308421 is a prime.

It is a super-2 number, since 2×1054725261492 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105472526099 and 105472526108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105479526149) 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, 52736263074 + 52736263075.

It is an arithmetic number, because the mean of its divisors is an integer number (52736263075).

Almost surely, 2105472526149 is an apocalyptic number.

It is an amenable number.

105472526149 is a deficient number, since it is larger than the sum of its proper divisors (1).

105472526149 is an equidigital number, since it uses as much as digits as its factorization.

105472526149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 105472526149 in words is "one hundred five billion, four hundred seventy-two million, five hundred twenty-six thousand, one hundred forty-nine".