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106780985 = 564133317
BaseRepresentation
bin1100101110101…
…01100100111001
321102221000222022
412113111210321
5204313442420
614332404225
72434423553
oct627254471
9242830868
10106780985
1155303153
122b916675
131917911c
14102784d3
159593c25
hex65d5939

106780985 has 8 divisors (see below), whose sum is σ = 128340936. Its totient is φ = 85288960.

The previous prime is 106780979. The next prime is 106780991. The reversal of 106780985 is 589087601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106780979) and next prime (106780991).

It can be written as a sum of positive squares in 4 ways, for example, as 20866624 + 85914361 = 4568^2 + 9269^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106780985 - 212 = 106776889 is a prime.

It is a super-2 number, since 2×1067809852 = 22804357515140450, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13454 + ... + 19863.

It is an arithmetic number, because the mean of its divisors is an integer number (16042617).

Almost surely, 2106780985 is an apocalyptic number.

It is an amenable number.

106780985 is a deficient number, since it is larger than the sum of its proper divisors (21559951).

106780985 is an equidigital number, since it uses as much as digits as its factorization.

106780985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33963.

The product of its (nonzero) digits is 120960, while the sum is 44.

The square root of 106780985 is about 10333.4885203401. The cubic root of 106780985 is about 474.4218043231.

The spelling of 106780985 in words is "one hundred six million, seven hundred eighty thousand, nine hundred eighty-five".

Divisors: 1 5 641 3205 33317 166585 21356197 106780985