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106286241 = 345917717
BaseRepresentation
bin1100101010111…
…00110010100001
321101222220022110
412111130302201
5204202124431
614314025533
72430263265
oct625346241
9241886273
10106286241
1154aa5476
122b7182a9
1319034b89
141018a0a5
1594e7346
hex655cca1

106286241 has 8 divisors (see below), whose sum is σ = 141764224. Its totient is φ = 70832880.

The previous prime is 106286233. The next prime is 106286263. The reversal of 106286241 is 142682601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 106286241 - 23 = 106286233 is a prime.

It is a super-2 number, since 2×1062862412 = 22593530051820162, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106286199 and 106286208.

It is not an unprimeable number, because it can be changed into a prime (106286221) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9915 + ... + 17631.

It is an arithmetic number, because the mean of its divisors is an integer number (17720528).

Almost surely, 2106286241 is an apocalyptic number.

It is an amenable number.

106286241 is a deficient number, since it is larger than the sum of its proper divisors (35477983).

106286241 is an equidigital number, since it uses as much as digits as its factorization.

106286241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12311.

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 106286241 is about 10309.5218608818. The cubic root of 106286241 is about 473.6879633705.

The spelling of 106286241 in words is "one hundred six million, two hundred eighty-six thousand, two hundred forty-one".

Divisors: 1 3 4591 7717 13773 23151 35428747 106286241