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106657014 = 23173759479
BaseRepresentation
bin1100101101101…
…11010011110110
321102200201220210
412112313103312
5204301011024
614330010250
72433366252
oct626672366
9242621823
10106657014
1155228aa2
122b876986
1319134879
1410245262
15956c129
hex65b74f6

106657014 has 64 divisors (see below), whose sum is σ = 236390400. Its totient is φ = 31938048.

The previous prime is 106657009. The next prime is 106657037. The reversal of 106657014 is 410756601.

It is a super-2 number, since 2×1066570142 = 22751437270792392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 in 31 ways as a sum of consecutive naturals, for example, 222427 + ... + 222905.

It is an arithmetic number, because the mean of its divisors is an integer number (3693600).

Almost surely, 2106657014 is an apocalyptic number.

106657014 is an abundant number, since it is smaller than the sum of its proper divisors (129733386).

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

106657014 is a wasteful number, since it uses less digits than its factorization.

106657014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597.

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

The square root of 106657014 is about 10327.4882715983. The cubic root of 106657014 is about 474.2381345399.

The spelling of 106657014 in words is "one hundred six million, six hundred fifty-seven thousand, fourteen".

Divisors: 1 2 3 6 17 34 37 51 59 74 102 111 118 177 222 354 479 629 958 1003 1258 1437 1887 2006 2183 2874 3009 3774 4366 6018 6549 8143 13098 16286 17723 24429 28261 35446 37111 48858 53169 56522 74222 84783 106338 111333 169566 222666 301291 480437 602582 903873 960874 1045657 1441311 1807746 2091314 2882622 3136971 6273942 17776169 35552338 53328507 106657014