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106172145 = 3252359381
BaseRepresentation
bin1100101010000…
…00111011110001
321101210002210200
412111000323301
5204140002040
614311345413
72426306532
oct625007361
9241702720
10106172145
1154a27782
122b682269
1318cc4c71
141015a689
1594c3630
hex6540ef1

106172145 has 12 divisors (see below), whose sum is σ = 184031796. Its totient is φ = 56625120.

The previous prime is 106172119. The next prime is 106172159. The reversal of 106172145 is 541271601.

It is a happy number.

106172145 is a `hidden beast` number, since 1 + 0 + 617 + 2 + 1 + 45 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17943696 + 88228449 = 4236^2 + 9393^2 .

It is not a de Polignac number, because 106172145 - 25 = 106172113 is a prime.

It is a super-2 number, since 2×1061721452 = 22545048747802050, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1179646 + ... + 1179735.

It is an arithmetic number, because the mean of its divisors is an integer number (15335983).

Almost surely, 2106172145 is an apocalyptic number.

106172145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106172145 is a deficient number, since it is larger than the sum of its proper divisors (77859651).

106172145 is a wasteful number, since it uses less digits than its factorization.

106172145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359392 (or 2359389 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 106172145 is about 10303.9868497587. The cubic root of 106172145 is about 473.5184047273.

The spelling of 106172145 in words is "one hundred six million, one hundred seventy-two thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 2359381 7078143 11796905 21234429 35390715 106172145