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106206555 = 35713292683
BaseRepresentation
bin1100101010010…
…01010101011011
321101211212000010
412111021111123
5204142102210
614312213003
72426512050
oct625112533
9241755003
10106206555
1154a50614
122b69a163
1319007820
1410169027
1594cd920
hex654955b

106206555 has 64 divisors (see below), whose sum is σ = 216437760. Its totient is φ = 43255296.

The previous prime is 106206491. The next prime is 106206601. The reversal of 106206555 is 555602601.

It is not a de Polignac number, because 106206555 - 26 = 106206491 is a prime.

It is a super-2 number, since 2×1062065552 = 22559664649936050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38244 + ... + 40926.

It is an arithmetic number, because the mean of its divisors is an integer number (3381840).

Almost surely, 2106206555 is an apocalyptic number.

106206555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106206555 is an abundant number, since it is smaller than the sum of its proper divisors (110231205).

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

106206555 is a wasteful number, since it uses less digits than its factorization.

106206555 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2740.

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 106206555 is about 10305.6564565291. The cubic root of 106206555 is about 473.5695543905.

It can be divided in two parts, 10620 and 6555, that multiplied together give a triangular number (69614100 = T11799).

The spelling of 106206555 in words is "one hundred six million, two hundred six thousand, five hundred fifty-five".

Divisors: 1 3 5 7 13 15 21 29 35 39 65 87 91 105 145 195 203 273 377 435 455 609 1015 1131 1365 1885 2639 2683 3045 5655 7917 8049 13195 13415 18781 34879 39585 40245 56343 77807 93905 104637 174395 233421 244153 281715 389035 523185 544649 732459 1011491 1167105 1220765 1633947 2723245 3034473 3662295 5057455 7080437 8169735 15172365 21241311 35402185 106206555