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106605642 = 231113124249
BaseRepresentation
bin1100101101010…
…10110001001010
321102121010110010
412112222301022
5204242340032
614324532350
72433063423
oct626526112
9242533403
10106605642
11551a3440
122b8510b6
1319117380
141023064a
15955bccc
hex65aac4a

106605642 has 32 divisors (see below), whose sum is σ = 250488000. Its totient is φ = 29819520.

The previous prime is 106605641. The next prime is 106605649. The reversal of 106605642 is 246506601.

It is a super-2 number, since 2×1066056422 = 22729525812464328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106605641) 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 15 ways as a sum of consecutive naturals, for example, 61267 + ... + 62982.

It is an arithmetic number, because the mean of its divisors is an integer number (7827750).

Almost surely, 2106605642 is an apocalyptic number.

106605642 is an abundant number, since it is smaller than the sum of its proper divisors (143882358).

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

106605642 is a wasteful number, since it uses less digits than its factorization.

106605642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124278.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 106605642 is about 10325.0008232445. Note that the first 3 decimals coincide. The cubic root of 106605642 is about 474.1619824175.

The spelling of 106605642 in words is "one hundred six million, six hundred five thousand, six hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 124249 248498 372747 745494 1366739 1615237 2733478 3230474 4100217 4845711 8200434 9691422 17767607 35535214 53302821 106605642