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106117021 is a prime number
BaseRepresentation
bin1100101001100…
…11011110011101
321101200022012001
412110303132131
5204131221041
614310242301
72425660033
oct624633635
9241608161
10106117021
115499a31a
122b656391
1318ca5b4a
1410144553
1594b2131
hex653379d

106117021 has 2 divisors, whose sum is σ = 106117022. Its totient is φ = 106117020.

The previous prime is 106117019. The next prime is 106117091. The reversal of 106117021 is 120711601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88096996 + 18020025 = 9386^2 + 4245^2 .

It is a cyclic number.

It is not a de Polignac number, because 106117021 - 21 = 106117019 is a prime.

It is a super-2 number, since 2×1061170212 = 22521644291828882, which contains 22 as substring.

Together with 106117019, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 106117021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106117001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53058510 + 53058511.

It is an arithmetic number, because the mean of its divisors is an integer number (53058511).

Almost surely, 2106117021 is an apocalyptic number.

It is an amenable number.

106117021 is a deficient number, since it is larger than the sum of its proper divisors (1).

106117021 is an equidigital number, since it uses as much as digits as its factorization.

106117021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 19.

The square root of 106117021 is about 10301.3116155177. The cubic root of 106117021 is about 473.4364411476.

Adding to 106117021 its reverse (120711601), we get a palindrome (226828622).

The spelling of 106117021 in words is "one hundred six million, one hundred seventeen thousand, twenty-one".