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106552206 = 2332968041
BaseRepresentation
bin1100101100111…
…01101110001110
321102111102011000
412112131232032
5204234132311
614323441130
72432451555
oct626355616
9242442130
10106552206
1155167282
122b8261a6
13190c8c57
1410218d9c
15954b056
hex659db8e

106552206 has 32 divisors (see below), whose sum is σ = 244951200. Its totient is φ = 34292160.

The previous prime is 106552183. The next prime is 106552213. The reversal of 106552206 is 602255601.

106552206 is a `hidden beast` number, since 1 + 0 + 655 + 2 + 2 + 0 + 6 = 666.

It is a super-2 number, since 2×1065522062 = 22706745206932872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106552206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32455 + ... + 35586.

It is an arithmetic number, because the mean of its divisors is an integer number (7654725).

Almost surely, 2106552206 is an apocalyptic number.

106552206 is an abundant number, since it is smaller than the sum of its proper divisors (138398994).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106552206 is a wasteful number, since it uses less digits than its factorization.

106552206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68081 (or 68075 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 106552206 is about 10322.4127993411. The cubic root of 106552206 is about 474.0827447279.

The spelling of 106552206 in words is "one hundred six million, five hundred fifty-two thousand, two hundred six".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 68041 136082 204123 408246 612369 1224738 1837107 1973189 3674214 3946378 5919567 11839134 17758701 35517402 53276103 106552206