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105083658649 is a prime number
BaseRepresentation
bin110000111011101111…
…0010110000110011001
3101001020110102221220101
41201313132112012121
53210202404034044
6120135203255401
710410033234514
oct1416736260631
9331213387811
10105083658649
1140624a93092
121844837a561
139ba8aaca98
14512c29bd7b
152b006b8cd4
hex1877796199

105083658649 has 2 divisors, whose sum is σ = 105083658650. Its totient is φ = 105083658648.

The previous prime is 105083658541. The next prime is 105083658677. The reversal of 105083658649 is 946856380501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93296648025 + 11787010624 = 305445^2 + 108568^2 .

It is a cyclic number.

It is not a de Polignac number, because 105083658649 - 233 = 96493724057 is a prime.

It is a super-2 number, since 2×1050836586492 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105083658649.

It is not a weakly prime, because it can be changed into another prime (105083658689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52541829324 + 52541829325.

It is an arithmetic number, because the mean of its divisors is an integer number (52541829325).

Almost surely, 2105083658649 is an apocalyptic number.

It is an amenable number.

105083658649 is a deficient number, since it is larger than the sum of its proper divisors (1).

105083658649 is an equidigital number, since it uses as much as digits as its factorization.

105083658649 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6220800, while the sum is 55.

The spelling of 105083658649 in words is "one hundred five billion, eighty-three million, six hundred fifty-eight thousand, six hundred forty-nine".