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105564640231 is a prime number
BaseRepresentation
bin110001001010000100…
…1001001001111100111
3101002110222111100121001
41202110021021033213
53212144021441411
6120255024334131
710424663431261
oct1422411111747
9332428440531
10105564640231
114085153a726
1218561474347
139c5463647b
145176102b31
152b2ca26dc1
hex18942493e7

105564640231 has 2 divisors, whose sum is σ = 105564640232. Its totient is φ = 105564640230.

The previous prime is 105564640213. The next prime is 105564640277. The reversal of 105564640231 is 132046465501.

Together with previous prime (105564640213) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105564640231 - 213 = 105564632039 is a prime.

It is a super-2 number, since 2×1055646402312 (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 (105564640211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52782320115 + 52782320116.

It is an arithmetic number, because the mean of its divisors is an integer number (52782320116).

Almost surely, 2105564640231 is an apocalyptic number.

105564640231 is a deficient number, since it is larger than the sum of its proper divisors (1).

105564640231 is an equidigital number, since it uses as much as digits as its factorization.

105564640231 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 105564640231 in words is "one hundred five billion, five hundred sixty-four million, six hundred forty thousand, two hundred thirty-one".