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106848511 = 7113533931
BaseRepresentation
bin1100101111001…
…10000011111111
321110001110121021
412113212003333
5204323123021
614334045011
72435124460
oct627460377
9243043537
10106848511
1155349960
122b949767
13191a0a93
1410294d67
1595a8c41
hex65e60ff

106848511 has 16 divisors (see below), whose sum is σ = 133625088. Its totient is φ = 83001600.

The previous prime is 106848509. The next prime is 106848517. The reversal of 106848511 is 115848601.

It is a happy number.

It is not a de Polignac number, because 106848511 - 21 = 106848509 is a prime.

It is a super-2 number, since 2×1068485112 = 22833208605834242, 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 (106848517) 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 15 ways as a sum of consecutive naturals, for example, 25216 + ... + 29146.

It is an arithmetic number, because the mean of its divisors is an integer number (8351568).

Almost surely, 2106848511 is an apocalyptic number.

106848511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106848511 is a deficient number, since it is larger than the sum of its proper divisors (26776577).

106848511 is a wasteful number, since it uses less digits than its factorization.

106848511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4302.

The product of its (nonzero) digits is 7680, while the sum is 34.

The square root of 106848511 is about 10336.7553419823. The cubic root of 106848511 is about 474.5217879679.

The spelling of 106848511 in words is "one hundred six million, eight hundred forty-eight thousand, five hundred eleven".

Divisors: 1 7 11 77 353 2471 3883 3931 27181 27517 43241 302687 1387643 9713501 15264073 106848511