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105795848461 is a prime number
BaseRepresentation
bin110001010000111101…
…1001000100100001101
3101010002002112221122211
41202201323020210031
53213132214122321
6120334004110421
710433501605612
oct1424173104415
9333062487584
10105795848461
114095aaa8906
1218606995411
139c904c9684
145198aca509
152b42e980e1
hex18a1ec890d

105795848461 has 2 divisors, whose sum is σ = 105795848462. Its totient is φ = 105795848460.

The previous prime is 105795848449. The next prime is 105795848489. The reversal of 105795848461 is 164848597501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76479902500 + 29315945961 = 276550^2 + 171219^2 .

It is a cyclic number.

It is not a de Polignac number, because 105795848461 - 215 = 105795815693 is a prime.

It is a super-2 number, since 2×1057958484612 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105795848396 and 105795848405.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105795848261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52897924230 + 52897924231.

It is an arithmetic number, because the mean of its divisors is an integer number (52897924231).

Almost surely, 2105795848461 is an apocalyptic number.

It is an amenable number.

105795848461 is a deficient number, since it is larger than the sum of its proper divisors (1).

105795848461 is an equidigital number, since it uses as much as digits as its factorization.

105795848461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9676800, while the sum is 58.

The spelling of 105795848461 in words is "one hundred five billion, seven hundred ninety-five million, eight hundred forty-eight thousand, four hundred sixty-one".