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106983114 = 2373736829
BaseRepresentation
bin1100110000001…
…10111011001010
321110022022020120
412120012323022
5204341424424
614341004110
72436225060
oct630067312
9243268216
10106983114
1155430aa7
122b9b3636
131921a124
14102cc030
1595d3a79
hex6606eca

106983114 has 32 divisors (see below), whose sum is σ = 245224320. Its totient is φ = 30480192.

The previous prime is 106983103. The next prime is 106983187. The reversal of 106983114 is 411389601.

It is a super-2 number, since 2×1069831142 = 22890773362273992, which contains 22 as substring.

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, 12252 + ... + 19080.

It is an arithmetic number, because the mean of its divisors is an integer number (7663260).

Almost surely, 2106983114 is an apocalyptic number.

106983114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106983114 is an abundant number, since it is smaller than the sum of its proper divisors (138241206).

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

106983114 is a wasteful number, since it uses less digits than its factorization.

106983114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7214.

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 106983114 is about 10343.2641849660. The cubic root of 106983114 is about 474.7209648315.

The spelling of 106983114 in words is "one hundred six million, nine hundred eighty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 373 746 1119 2238 2611 5222 6829 7833 13658 15666 20487 40974 47803 95606 143409 286818 2547217 5094434 7641651 15283302 17830519 35661038 53491557 106983114