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105085744877 is a prime number
BaseRepresentation
bin110000111011110011…
…0010011011011101101
3101001020121100221200002
41201313212103123231
53210203422314002
6120135320114045
710410060044021
oct1416746233355
9331217327602
10105085744877
1140626188543
1218449005925
139ba9360539
14512c682381
152b0097c002
hex18779936ed

105085744877 has 2 divisors, whose sum is σ = 105085744878. Its totient is φ = 105085744876.

The previous prime is 105085744873. The next prime is 105085744891. The reversal of 105085744877 is 778447580501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54347731876 + 50738013001 = 233126^2 + 225251^2 .

It is a cyclic number.

It is not a de Polignac number, because 105085744877 - 22 = 105085744873 is a prime.

It is a super-2 number, since 2×1050857448772 (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 (105085744871) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52542872438 + 52542872439.

It is an arithmetic number, because the mean of its divisors is an integer number (52542872439).

Almost surely, 2105085744877 is an apocalyptic number.

It is an amenable number.

105085744877 is a deficient number, since it is larger than the sum of its proper divisors (1).

105085744877 is an equidigital number, since it uses as much as digits as its factorization.

105085744877 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8780800, while the sum is 56.

The spelling of 105085744877 in words is "one hundred five billion, eighty-five million, seven hundred forty-four thousand, eight hundred seventy-seven".