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106054065 = 32513199911
BaseRepresentation
bin1100101001001…
…00000110110001
321101120002211100
412110210012301
5204122212230
614305035013
72425305345
oct624440661
9241502740
10106054065
1154956a97
122b625a69
1318c832b0
1410129625
15949d660
hex65241b1

106054065 has 48 divisors (see below), whose sum is σ = 199180800. Its totient is φ = 51891840.

The previous prime is 106054061. The next prime is 106054111. The reversal of 106054065 is 560450601.

It is a happy number.

106054065 is a `hidden beast` number, since 1 + 0 + 60 + 540 + 65 = 666.

It is not a de Polignac number, because 106054065 - 22 = 106054061 is a prime.

It is a super-2 number, since 2×1060540652 = 22494929406048450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106054061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115960 + ... + 116870.

It is an arithmetic number, because the mean of its divisors is an integer number (4149600).

Almost surely, 2106054065 is an apocalyptic number.

106054065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106054065 is a deficient number, since it is larger than the sum of its proper divisors (93126735).

106054065 is a wasteful number, since it uses less digits than its factorization.

106054065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1131 counting only the distinct ones).

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

The square root of 106054065 is about 10298.2554347812. The cubic root of 106054065 is about 473.3427974810.

The spelling of 106054065 in words is "one hundred six million, fifty-four thousand, sixty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 199 585 597 911 995 1791 2587 2733 2985 4555 7761 8199 8955 11843 12935 13665 23283 35529 38805 40995 59215 106587 116415 177645 181289 532935 543867 906445 1631601 2356757 2719335 7070271 8158005 11783785 21210813 35351355 106054065