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106132397 = 7163191487
BaseRepresentation
bin1100101001101…
…11001110101101
321101201002021112
412110313032231
5204132214042
614310441405
72426052620
oct624671655
9241632245
10106132397
11549aa928
122b663265
1318cacb47
1410149db7
1594b6982
hex65373ad

106132397 has 16 divisors (see below), whose sum is σ = 122929152. Its totient is φ = 89754480.

The previous prime is 106132387. The next prime is 106132417. The reversal of 106132397 is 793231601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 106132397 - 24 = 106132381 is a prime.

It is a super-2 number, since 2×1061323972 = 22528171385931218, 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 (106132357) 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, 217688 + ... + 218174.

It is an arithmetic number, because the mean of its divisors is an integer number (7683072).

Almost surely, 2106132397 is an apocalyptic number.

It is an amenable number.

106132397 is a deficient number, since it is larger than the sum of its proper divisors (16796755).

106132397 is a wasteful number, since it uses less digits than its factorization.

106132397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848.

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 106132397 is about 10302.0579012157. The cubic root of 106132397 is about 473.4593064934.

Adding to 106132397 its reverse (793231601), we get a palindrome (899363998).

The spelling of 106132397 in words is "one hundred six million, one hundred thirty-two thousand, three hundred ninety-seven".

Divisors: 1 7 163 191 487 1141 1337 3409 31133 79381 93017 217931 555667 651119 15161771 106132397