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105795848449 is a prime number
BaseRepresentation
bin110001010000111101…
…1001000100100000001
3101010002002112221122101
41202201323020210001
53213132214122244
6120334004110401
710433501605564
oct1424173104401
9333062487571
10105795848449
114095aaa88a5
1218606995401
139c904c9675
145198aca4db
152b42e980d4
hex18a1ec8901

105795848449 has 2 divisors, whose sum is σ = 105795848450. Its totient is φ = 105795848448.

The previous prime is 105795848423. The next prime is 105795848461. The reversal of 105795848449 is 944848597501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70401070224 + 35394778225 = 265332^2 + 188135^2 .

It is an emirp because it is prime and its reverse (944848597501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105795848449 - 27 = 105795848321 is a prime.

It is a super-2 number, since 2×1057958484492 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105795848489) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52897924224 + 52897924225.

It is an arithmetic number, because the mean of its divisors is an integer number (52897924225).

Almost surely, 2105795848449 is an apocalyptic number.

It is an amenable number.

105795848449 is a deficient number, since it is larger than the sum of its proper divisors (1).

105795848449 is an equidigital number, since it uses as much as digits as its factorization.

105795848449 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 58060800, while the sum is 64.

The spelling of 105795848449 in words is "one hundred five billion, seven hundred ninety-five million, eight hundred forty-eight thousand, four hundred forty-nine".