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106205055 = 35114314969
BaseRepresentation
bin1100101010010…
…00111101111111
321101211202221120
412111020331333
5204142030210
614312202023
72426504505
oct625107577
9241752846
10106205055
1154a4a480
122b699313
1319006c38
1410168675
1594cd270
hex6548f7f

106205055 has 32 divisors (see below), whose sum is σ = 189699840. Its totient is φ = 50292480.

The previous prime is 106205027. The next prime is 106205063. The reversal of 106205055 is 550502601.

It is not a de Polignac number, because 106205055 - 210 = 106204031 is a prime.

It is a super-2 number, since 2×1062050552 = 22559027415106050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390 + ... + 14579.

It is an arithmetic number, because the mean of its divisors is an integer number (5928120).

Almost surely, 2106205055 is an apocalyptic number.

106205055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106205055 is a deficient number, since it is larger than the sum of its proper divisors (83494785).

106205055 is a wasteful number, since it uses less digits than its factorization.

106205055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15031.

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 106205055 is about 10305.5836807044. The cubic root of 106205055 is about 473.5673249058.

Adding to 106205055 its reverse (550502601), we get a palindrome (656707656).

The spelling of 106205055 in words is "one hundred six million, two hundred five thousand, fifty-five".

Divisors: 1 3 5 11 15 33 43 55 129 165 215 473 645 1419 2365 7095 14969 44907 74845 164659 224535 493977 643667 823295 1931001 2469885 3218335 7080337 9655005 21241011 35401685 106205055