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106841924 = 22773167313
BaseRepresentation
bin1100101111001…
…00011101000100
321110001010120022
412113210131010
5204322420144
614333554312
72435066330
oct627443504
9243033508
10106841924
1155344a12
122b945998
131919aa97
14102927c0
1595a6cee
hex65e4744

106841924 has 48 divisors (see below), whose sum is σ = 218604288. Its totient is φ = 44748288.

The previous prime is 106841899. The next prime is 106841939. The reversal of 106841924 is 429148601.

It is a happy number.

It is a super-2 number, since 2×1068419242 = 22830393448043552, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 341192 + ... + 341504.

It is an arithmetic number, because the mean of its divisors is an integer number (4554256).

Almost surely, 2106841924 is an apocalyptic number.

106841924 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106841924 is an abundant number, since it is smaller than the sum of its proper divisors (111762364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106841924 is a wasteful number, since it uses less digits than its factorization.

106841924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 106841924 is about 10336.4367167801. The cubic root of 106841924 is about 474.5120366566.

The spelling of 106841924 in words is "one hundred six million, eight hundred forty-one thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 28 73 146 167 292 313 334 511 626 668 1022 1169 1252 2044 2191 2338 4382 4676 8764 12191 22849 24382 45698 48764 52271 85337 91396 104542 159943 170674 209084 319886 341348 365897 639772 731794 1463588 3815783 7631566 15263132 26710481 53420962 106841924