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106826841 = 32111079059
BaseRepresentation
bin1100101111000…
…00110001011001
321110000100212200
412113200301121
5204321424331
614333400413
72435004342
oct627406131
9243010780
10106826841
1155334650
122b939109
1319193c64
141028b0c9
1595a25e6
hex65e0c59

106826841 has 12 divisors (see below), whose sum is σ = 168333360. Its totient is φ = 64743480.

The previous prime is 106826831. The next prime is 106826849. The reversal of 106826841 is 148628601.

It is not a de Polignac number, because 106826841 - 25 = 106826809 is a prime.

It is a super-2 number, since 2×1068268412 = 22823947916078562, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 106826796 and 106826805.

It is not an unprimeable number, because it can be changed into a prime (106826849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 539431 + ... + 539628.

It is an arithmetic number, because the mean of its divisors is an integer number (14027780).

Almost surely, 2106826841 is an apocalyptic number.

106826841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106826841 is a deficient number, since it is larger than the sum of its proper divisors (61506519).

106826841 is a wasteful number, since it uses less digits than its factorization.

106826841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079076 (or 1079073 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 106826841 is about 10335.7070875678. The cubic root of 106826841 is about 474.4897064652.

The spelling of 106826841 in words is "one hundred six million, eight hundred twenty-six thousand, eight hundred forty-one".

Divisors: 1 3 9 11 33 99 1079059 3237177 9711531 11869649 35608947 106826841