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106386075 = 33523972
BaseRepresentation
bin1100101011101…
…01001010011011
321102011222021000
412111311022123
5204213323300
614320120043
72431160325
oct625651233
9242158230
10106386075
1155063484
122b766023
131906b453
14101b4615
159516c00
hex657529b

106386075 has 36 divisors (see below), whose sum is σ = 195928680. Its totient is φ = 56596320.

The previous prime is 106386053. The next prime is 106386089. The reversal of 106386075 is 570683601.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

106386075 is a `hidden beast` number, since 10 + 6 + 38 + 607 + 5 = 666.

It is not a de Polignac number, because 106386075 - 28 = 106385819 is a prime.

It is a super-2 number, since 2×1063860752 = 22635993907811250, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 267777 + ... + 268173.

Almost surely, 2106386075 is an apocalyptic number.

106386075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106386075 is a deficient number, since it is larger than the sum of its proper divisors (89542605).

106386075 is an frugal number, since it uses more digits than its factorization.

106386075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 106386075 is about 10314.3625590727. The cubic root of 106386075 is about 473.8362276707.

The spelling of 106386075 in words is "one hundred six million, three hundred eighty-six thousand, seventy-five".

Divisors: 1 3 5 9 15 25 27 45 75 135 225 397 675 1191 1985 3573 5955 9925 10719 17865 29775 53595 89325 157609 267975 472827 788045 1418481 2364135 3940225 4255443 7092405 11820675 21277215 35462025 106386075