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106605714 = 23311733313
BaseRepresentation
bin1100101101010…
…10110010010010
321102121010112210
412112222302102
5204242340324
614324532550
72433063555
oct626526222
9242533483
10106605714
11551a34a6
122b851156
1319117407
141023069c
15955bd29
hex65aac92

106605714 has 32 divisors (see below), whose sum is σ = 221428224. Its totient is φ = 34179840.

The previous prime is 106605703. The next prime is 106605727. The reversal of 106605714 is 417506601.

It is a super-3 number, since 3×1066057143 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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, 30522 + ... + 33834.

It is an arithmetic number, because the mean of its divisors is an integer number (6919632).

Almost surely, 2106605714 is an apocalyptic number.

106605714 is an abundant number, since it is smaller than the sum of its proper divisors (114822510).

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

106605714 is a wasteful number, since it uses less digits than its factorization.

106605714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 106605714 is about 10325.0043099265. The cubic root of 106605714 is about 474.1620891650.

The spelling of 106605714 in words is "one hundred six million, six hundred five thousand, seven hundred fourteen".

Divisors: 1 2 3 6 31 62 93 173 186 346 519 1038 3313 5363 6626 9939 10726 16089 19878 32178 102703 205406 308109 573149 616218 1146298 1719447 3438894 17767619 35535238 53302857 106605714