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106837337 is a prime number
BaseRepresentation
bin1100101111000…
…11010101011001
321110000220021102
412113203111121
5204322243322
614333521145
72435050055
oct627432531
9243026242
10106837337
1155341522
122b9431b5
1319198979
1410290c65
1595a5792
hex65e3559

106837337 has 2 divisors, whose sum is σ = 106837338. Its totient is φ = 106837336.

The previous prime is 106837301. The next prime is 106837343. The reversal of 106837337 is 733738601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104264521 + 2572816 = 10211^2 + 1604^2 .

It is a cyclic number.

It is not a de Polignac number, because 106837337 - 212 = 106833241 is a prime.

It is a super-2 number, since 2×1068373372 = 22828433154503138, 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 106837337.

It is not a weakly prime, because it can be changed into another prime (106837937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53418668 + 53418669.

It is an arithmetic number, because the mean of its divisors is an integer number (53418669).

Almost surely, 2106837337 is an apocalyptic number.

It is an amenable number.

106837337 is a deficient number, since it is larger than the sum of its proper divisors (1).

106837337 is an equidigital number, since it uses as much as digits as its factorization.

106837337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63504, while the sum is 38.

The square root of 106837337 is about 10336.2148294238. The cubic root of 106837337 is about 474.5052458833.

The spelling of 106837337 in words is "one hundred six million, eight hundred thirty-seven thousand, three hundred thirty-seven".