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106375071 = 3118533779
BaseRepresentation
bin1100101011100…
…10011110011111
321102011102011110
412111302132133
5204213000241
614315553103
72431113255
oct625623637
9242142143
10106375071
1155056190
122b75b793
131906643a
14101b05d5
159513816
hex657279f

106375071 has 16 divisors (see below), whose sum is σ = 154949760. Its totient is φ = 64377120.

The previous prime is 106375063. The next prime is 106375099. The reversal of 106375071 is 170573601.

It is not a de Polignac number, because 106375071 - 23 = 106375063 is a prime.

It is a super-2 number, since 2×1063750712 = 22631311460510082, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106375021) 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, 26260 + ... + 30038.

It is an arithmetic number, because the mean of its divisors is an integer number (9684360).

Almost surely, 2106375071 is an apocalyptic number.

106375071 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106375071 is a deficient number, since it is larger than the sum of its proper divisors (48574689).

106375071 is a wasteful number, since it uses less digits than its factorization.

106375071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4646.

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 106375071 is about 10313.8291143493. The cubic root of 106375071 is about 473.8198900888.

The spelling of 106375071 in words is "one hundred six million, three hundred seventy-five thousand, seventy-one".

Divisors: 1 3 11 33 853 2559 3779 9383 11337 28149 41569 124707 3223487 9670461 35458357 106375071