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106518225 = 35211129113
BaseRepresentation
bin1100101100101…
…01011011010001
321102102200112110
412112111123101
5204232040400
614323015533
72432250522
oct626253321
9242380473
10106518225
11551437a0
122b80a5a9
13190b6648
141020a849
159540e50
hex65956d1

106518225 has 24 divisors (see below), whose sum is σ = 192121632. Its totient is φ = 51644800.

The previous prime is 106518197. The next prime is 106518229. The reversal of 106518225 is 522815601.

It is not a de Polignac number, because 106518225 - 25 = 106518193 is a prime.

It is a super-2 number, since 2×1065182252 = 22692264514301250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106518192 and 106518201.

It is not an unprimeable number, because it can be changed into a prime (106518229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63732 + ... + 65381.

It is an arithmetic number, because the mean of its divisors is an integer number (8005068).

Almost surely, 2106518225 is an apocalyptic number.

106518225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106518225 is a deficient number, since it is larger than the sum of its proper divisors (85603407).

106518225 is a wasteful number, since it uses less digits than its factorization.

106518225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129137 (or 129132 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 106518225 is about 10320.7666866372. The cubic root of 106518225 is about 474.0323421468.

The spelling of 106518225 in words is "one hundred six million, five hundred eighteen thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 275 825 129113 387339 645565 1420243 1936695 3227825 4260729 7101215 9683475 21303645 35506075 106518225