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106290967 is a prime number
BaseRepresentation
bin1100101010111…
…01111100010111
321102000010210111
412111131330113
5204202302332
614314103451
72430313126
oct625357427
9242003714
10106290967
1154aa8a82
122b71ab87
1319037083
141018babd
1594e8947
hex655df17

106290967 has 2 divisors, whose sum is σ = 106290968. Its totient is φ = 106290966.

The previous prime is 106290913. The next prime is 106291007. The reversal of 106290967 is 769092601.

It is an a-pointer prime, because the next prime (106291007) can be obtained adding 106290967 to its sum of digits (40).

It is a strong prime.

It is an emirp because it is prime and its reverse (769092601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106290967 - 27 = 106290839 is a prime.

It is a super-2 number, since 2×1062909672 = 22595539331590178, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106290167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53145483 + 53145484.

It is an arithmetic number, because the mean of its divisors is an integer number (53145484).

Almost surely, 2106290967 is an apocalyptic number.

106290967 is a deficient number, since it is larger than the sum of its proper divisors (1).

106290967 is an equidigital number, since it uses as much as digits as its factorization.

106290967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 106290967 is about 10309.7510639200. The cubic root of 106290967 is about 473.6949840853.

It can be divided in two parts, 1062 and 90967, that added together give a palindrome (92029).

The spelling of 106290967 in words is "one hundred six million, two hundred ninety thousand, nine hundred sixty-seven".