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106817393 = 1378832
BaseRepresentation
bin1100101110111…
…10011101110001
321102222212220202
412113132131301
5204321124033
614333244545
72434634654
oct627363561
9242885822
10106817393
1155328541
122b933755
131918c877
141028789b
15959e8e8
hex65de771

106817393 has 6 divisors (see below), whose sum is σ = 107719074. Its totient is φ = 105917616.

The previous prime is 106817387. The next prime is 106817407. The reversal of 106817393 is 393718601.

It can be written as a sum of positive squares in only one way, i.e., 94342369 + 12475024 = 9713^2 + 3532^2 .

It is not a de Polignac number, because 106817393 - 26 = 106817329 is a prime.

It is a super-2 number, since 2×1068173932 = 22819910894632898, 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 (106819393) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 120530 + ... + 121412.

It is an arithmetic number, because the mean of its divisors is an integer number (17953179).

Almost surely, 2106817393 is an apocalyptic number.

It is an amenable number.

106817393 is a deficient number, since it is larger than the sum of its proper divisors (901681).

106817393 is an frugal number, since it uses more digits than its factorization.

106817393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 106817393 is about 10335.2500211654. The cubic root of 106817393 is about 474.4757177495.

The spelling of 106817393 in words is "one hundred six million, eight hundred seventeen thousand, three hundred ninety-three".

Divisors: 1 137 883 120971 779689 106817393