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105323031757 is a prime number
BaseRepresentation
bin110001000010110111…
…1011110110011001101
3101001212010212101002001
41202011233132303031
53211200144004012
6120215034032301
710416000666346
oct1420557366315
9331763771061
10105323031757
11407381186a9
12184b4578691
139c16571488
145151dad0cd
152b166ee357
hex1885bdeccd

105323031757 has 2 divisors, whose sum is σ = 105323031758. Its totient is φ = 105323031756.

The previous prime is 105323031731. The next prime is 105323031809. The reversal of 105323031757 is 757130323501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71594240041 + 33728791716 = 267571^2 + 183654^2 .

It is a cyclic number.

It is not a de Polignac number, because 105323031757 - 27 = 105323031629 is a prime.

It is a super-2 number, since 2×1053230317572 (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 (105323031857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52661515878 + 52661515879.

It is an arithmetic number, because the mean of its divisors is an integer number (52661515879).

Almost surely, 2105323031757 is an apocalyptic number.

It is an amenable number.

105323031757 is a deficient number, since it is larger than the sum of its proper divisors (1).

105323031757 is an equidigital number, since it uses as much as digits as its factorization.

105323031757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 66150, while the sum is 37.

The spelling of 105323031757 in words is "one hundred five billion, three hundred twenty-three million, thirty-one thousand, seven hundred fifty-seven".