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105314461597 is a prime number
BaseRepresentation
bin110001000010100111…
…0110010011110011101
3101001211112201222000201
41202011032302132131
53211141000232342
6120214130223501
710415535103432
oct1420516623635
9331745658021
10105314461597
11407332a4824
12184b1724b91
139c14860687
145150bbbb89
152b15aa9db7
hex18853b279d

105314461597 has 2 divisors, whose sum is σ = 105314461598. Its totient is φ = 105314461596.

The previous prime is 105314461519. The next prime is 105314461663. The reversal of 105314461597 is 795164413501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54335143801 + 50979317796 = 233099^2 + 225786^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105314461597 is a prime.

It is a super-2 number, since 2×1053144615972 (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 (105314461097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52657230798 + 52657230799.

It is an arithmetic number, because the mean of its divisors is an integer number (52657230799).

Almost surely, 2105314461597 is an apocalyptic number.

It is an amenable number.

105314461597 is a deficient number, since it is larger than the sum of its proper divisors (1).

105314461597 is an equidigital number, since it uses as much as digits as its factorization.

105314461597 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 105314461597 in words is "one hundred five billion, three hundred fourteen million, four hundred sixty-one thousand, five hundred ninety-seven".