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106493357 is a prime number
BaseRepresentation
bin1100101100011…
…11010110101101
321102101102102102
412112033112231
5204230241412
614322304445
72432115155
oct626172655
9242342372
10106493357
1155127043
122b7b8125
13190a8229
1410201765
1595388c2
hex658f5ad

106493357 has 2 divisors, whose sum is σ = 106493358. Its totient is φ = 106493356.

The previous prime is 106493353. The next prime is 106493369. The reversal of 106493357 is 753394601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102191881 + 4301476 = 10109^2 + 2074^2 .

It is a cyclic number.

It is not a de Polignac number, because 106493357 - 22 = 106493353 is a prime.

It is a super-2 number, since 2×1064933572 = 22681670170258898, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106493357.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106493353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53246678 + 53246679.

It is an arithmetic number, because the mean of its divisors is an integer number (53246679).

Almost surely, 2106493357 is an apocalyptic number.

It is an amenable number.

106493357 is a deficient number, since it is larger than the sum of its proper divisors (1).

106493357 is an equidigital number, since it uses as much as digits as its factorization.

106493357 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 68040, while the sum is 38.

The square root of 106493357 is about 10319.5618608544. The cubic root of 106493357 is about 473.9954497002.

The spelling of 106493357 in words is "one hundred six million, four hundred ninety-three thousand, three hundred fifty-seven".