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106635121 is a prime number
BaseRepresentation
bin1100101101100…
…01111101110001
321102122121212221
412112301331301
5204244310441
614325321041
72433245365
oct626617561
9242577787
10106635121
11552135aa
122b866181
1319127908
141023b2a5
1595658d1
hex65b1f71

106635121 has 2 divisors, whose sum is σ = 106635122. Its totient is φ = 106635120.

The previous prime is 106635119. The next prime is 106635127. The reversal of 106635121 is 121536601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75498721 + 31136400 = 8689^2 + 5580^2 .

It is a cyclic number.

It is not a de Polignac number, because 106635121 - 21 = 106635119 is a prime.

It is a super-2 number, since 2×1066351212 = 22742098061369282, which contains 22 as substring.

Together with 106635119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (106635127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53317560 + 53317561.

It is an arithmetic number, because the mean of its divisors is an integer number (53317561).

Almost surely, 2106635121 is an apocalyptic number.

It is an amenable number.

106635121 is a deficient number, since it is larger than the sum of its proper divisors (1).

106635121 is an equidigital number, since it uses as much as digits as its factorization.

106635121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 106635121 is about 10326.4282789356. The cubic root of 106635121 is about 474.2056840847.

The spelling of 106635121 in words is "one hundred six million, six hundred thirty-five thousand, one hundred twenty-one".