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106057535743 is a prime number
BaseRepresentation
bin110001011000110000…
…1011001000011111111
3101010202022222001010101
41202301201121003333
53214201212120433
6120415553021531
710443130115365
oct1426141310377
9333668861111
10106057535743
1140a84794395
121867a5548a7
13a0027a1913
1451c1769635
152b5ae3a07d
hex18b18590ff

106057535743 has 2 divisors, whose sum is σ = 106057535744. Its totient is φ = 106057535742.

The previous prime is 106057535681. The next prime is 106057535783. The reversal of 106057535743 is 347535750601.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106057535743 is a prime.

It is a super-2 number, since 2×1060575357432 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106057535693 and 106057535702.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106057535783) 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, 53028767871 + 53028767872.

It is an arithmetic number, because the mean of its divisors is an integer number (53028767872).

Almost surely, 2106057535743 is an apocalyptic number.

106057535743 is a deficient number, since it is larger than the sum of its proper divisors (1).

106057535743 is an equidigital number, since it uses as much as digits as its factorization.

106057535743 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1323000, while the sum is 46.

The spelling of 106057535743 in words is "one hundred six billion, fifty-seven million, five hundred thirty-five thousand, seven hundred forty-three".