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106271225 = 5229146581
BaseRepresentation
bin1100101010110…
…01000111111001
321101222010201022
412111121013321
5204201134400
614313432225
72430201434
oct625310771
9241863638
10106271225
1154a95165
122b70b675
131902b0a8
141018481b
1594e2b85
hex65591f9

106271225 has 12 divisors (see below), whose sum is σ = 136321260. Its totient is φ = 82084800.

The previous prime is 106271219. The next prime is 106271257. The reversal of 106271225 is 522172601.

It can be written as a sum of positive squares in 6 ways, for example, as 3613801 + 102657424 = 1901^2 + 10132^2 .

It is not a de Polignac number, because 106271225 - 216 = 106205689 is a prime.

It is a super-2 number, since 2×1062712252 = 22587146526001250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106271194 and 106271203.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72566 + ... + 74015.

It is an arithmetic number, because the mean of its divisors is an integer number (11360105).

Almost surely, 2106271225 is an apocalyptic number.

It is an amenable number.

106271225 is a deficient number, since it is larger than the sum of its proper divisors (30050035).

106271225 is a wasteful number, since it uses less digits than its factorization.

106271225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146620 (or 146615 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 106271225 is about 10308.7935763599. The cubic root of 106271225 is about 473.6656549532.

The spelling of 106271225 in words is "one hundred six million, two hundred seventy-one thousand, two hundred twenty-five".

Divisors: 1 5 25 29 145 725 146581 732905 3664525 4250849 21254245 106271225