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106838909 is a prime number
BaseRepresentation
bin1100101111000…
…11101101111101
321110000222102122
412113203231331
5204322321114
614333532325
72435054462
oct627435575
9243028378
10106838909
1155342721
122b9440a5
13191995b8
1410291669
1595a5e8e
hex65e3b7d

106838909 has 2 divisors, whose sum is σ = 106838910. Its totient is φ = 106838908.

The previous prime is 106838899. The next prime is 106838923. The reversal of 106838909 is 909838601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98942809 + 7896100 = 9947^2 + 2810^2 .

It is a cyclic number.

It is not a de Polignac number, because 106838909 - 224 = 90061693 is a prime.

It is a super-2 number, since 2×1068389092 = 22829104952620562, 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 106838909.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106838939) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53419454 + 53419455.

It is an arithmetic number, because the mean of its divisors is an integer number (53419455).

Almost surely, 2106838909 is an apocalyptic number.

It is an amenable number.

106838909 is a deficient number, since it is larger than the sum of its proper divisors (1).

106838909 is an equidigital number, since it uses as much as digits as its factorization.

106838909 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 93312, while the sum is 44.

The square root of 106838909 is about 10336.2908724552. The cubic root of 106838909 is about 474.5075731552.

The spelling of 106838909 in words is "one hundred six million, eight hundred thirty-eight thousand, nine hundred nine".