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106983369 = 3318772111
BaseRepresentation
bin1100110000001…
…10111111001001
321110022022121000
412120012333021
5204341431434
614341005213
72436225603
oct630067711
9243268530
10106983369
1155431209
122b9b3809
131921a28c
14102cc173
1595d3b99
hex6606fc9

106983369 has 16 divisors (see below), whose sum is σ = 158653440. Its totient is φ = 71250480.

The previous prime is 106983367. The next prime is 106983413. The reversal of 106983369 is 963389601.

It is not a de Polignac number, because 106983369 - 21 = 106983367 is a prime.

It is a super-2 number, since 2×1069833692 = 22890882485180322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106983361) 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, 49624 + ... + 51734.

It is an arithmetic number, because the mean of its divisors is an integer number (9915840).

Almost surely, 2106983369 is an apocalyptic number.

It is an amenable number.

106983369 is a deficient number, since it is larger than the sum of its proper divisors (51670071).

106983369 is a wasteful number, since it uses less digits than its factorization.

106983369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3997 (or 3991 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 106983369 is about 10343.2765118216. The cubic root of 106983369 is about 474.7213420055.

The spelling of 106983369 in words is "one hundred six million, nine hundred eighty-three thousand, three hundred sixty-nine".

Divisors: 1 3 9 27 1877 2111 5631 6333 16893 18999 50679 56997 3962347 11887041 35661123 106983369