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106380561 = 3731163411
BaseRepresentation
bin1100101011100…
…11110100010001
321102011200200210
412111303310101
5204213134221
614320034333
72431135260
oct625636421
9242150623
10106380561
115505a321
122b7629a9
1319068aa1
14101b25d7
159515276
hex6573d11

106380561 has 16 divisors (see below), whose sum is σ = 167333888. Its totient is φ = 58827600.

The previous prime is 106380559. The next prime is 106380569. The reversal of 106380561 is 165083601.

It is not a de Polignac number, because 106380561 - 21 = 106380559 is a prime.

It is a super-2 number, since 2×1063805612 = 22633647517349442, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106380569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81055 + ... + 82356.

It is an arithmetic number, because the mean of its divisors is an integer number (10458368).

Almost surely, 2106380561 is an apocalyptic number.

It is an amenable number.

106380561 is a deficient number, since it is larger than the sum of its proper divisors (60953327).

106380561 is a wasteful number, since it uses less digits than its factorization.

106380561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163452.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 106380561 is about 10314.0952584315. The cubic root of 106380561 is about 473.8280412042.

The spelling of 106380561 in words is "one hundred six million, three hundred eighty thousand, five hundred sixty-one".

Divisors: 1 3 7 21 31 93 217 651 163411 490233 1143877 3431631 5065741 15197223 35460187 106380561