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106518965 = 5727710987
BaseRepresentation
bin1100101100101…
…01100110110101
321102102201112212
412112111212311
5204232101330
614323023205
72432252630
oct626254665
9242381485
10106518965
1155144303
122b80ab05
13190b6a97
141020ac17
159541295
hex65959b5

106518965 has 16 divisors (see below), whose sum is σ = 146623872. Its totient is φ = 72771264.

The previous prime is 106518961. The next prime is 106518977. The reversal of 106518965 is 569815601.

It is a cyclic number.

It is not a de Polignac number, because 106518965 - 22 = 106518961 is a prime.

It is a super-2 number, since 2×1065189652 = 22692579809342450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106518961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4202 + ... + 15188.

It is an arithmetic number, because the mean of its divisors is an integer number (9163992).

Almost surely, 2106518965 is an apocalyptic number.

It is an amenable number.

106518965 is a deficient number, since it is larger than the sum of its proper divisors (40104907).

106518965 is a wasteful number, since it uses less digits than its factorization.

106518965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11276.

The product of its (nonzero) digits is 64800, while the sum is 41.

The square root of 106518965 is about 10320.8025366248. The cubic root of 106518965 is about 474.0334398717.

The spelling of 106518965 in words is "one hundred six million, five hundred eighteen thousand, nine hundred sixty-five".

Divisors: 1 5 7 35 277 1385 1939 9695 10987 54935 76909 384545 3043399 15216995 21303793 106518965