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106712428357 is a prime number
BaseRepresentation
bin110001101100010001…
…1100110111101000101
3101012102222021000220101
41203120203212331011
53222021340201412
6121004545404101
710465301450323
oct1433043467505
9335388230811
10106712428357
1141290424957
1218821939631
13a0a8379842
145244720d13
152b9869c457
hex18d88e6f45

106712428357 has 2 divisors, whose sum is σ = 106712428358. Its totient is φ = 106712428356.

The previous prime is 106712428327. The next prime is 106712428409. The reversal of 106712428357 is 753824217601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100789740676 + 5922687681 = 317474^2 + 76959^2 .

It is a cyclic number.

It is not a de Polignac number, because 106712428357 - 235 = 72352689989 is a prime.

It is a super-2 number, since 2×1067124283572 (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 (106712428327) 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, 53356214178 + 53356214179.

It is an arithmetic number, because the mean of its divisors is an integer number (53356214179).

Almost surely, 2106712428357 is an apocalyptic number.

It is an amenable number.

106712428357 is a deficient number, since it is larger than the sum of its proper divisors (1).

106712428357 is an equidigital number, since it uses as much as digits as its factorization.

106712428357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 106712428357 in words is "one hundred six billion, seven hundred twelve million, four hundred twenty-eight thousand, three hundred fifty-seven".