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106408021 is a prime number
BaseRepresentation
bin1100101011110…
…10100001010101
321102020002100211
412111322201111
5204220024041
614320405421
72431311316
oct625724125
9242202324
10106408021
1155078a15
122b776871
1319078435
14101bc60d
15951d481
hex657a855

106408021 has 2 divisors, whose sum is σ = 106408022. Its totient is φ = 106408020.

The previous prime is 106408019. The next prime is 106408063. The reversal of 106408021 is 120804601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82992100 + 23415921 = 9110^2 + 4839^2 .

It is a cyclic number.

It is not a de Polignac number, because 106408021 - 21 = 106408019 is a prime.

It is a super-2 number, since 2×1064080212 = 22645333866272882, which contains 22 as substring.

Together with 106408019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 106407983 and 106408001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106408091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53204010 + 53204011.

It is an arithmetic number, because the mean of its divisors is an integer number (53204011).

Almost surely, 2106408021 is an apocalyptic number.

It is an amenable number.

106408021 is a deficient number, since it is larger than the sum of its proper divisors (1).

106408021 is an equidigital number, since it uses as much as digits as its factorization.

106408021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 106408021 is about 10315.4263605534. The cubic root of 106408021 is about 473.8688074197.

The spelling of 106408021 in words is "one hundred six million, four hundred eight thousand, twenty-one".