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106040085 = 3513815119
BaseRepresentation
bin1100101001000…
…00101100010101
321101112101122120
412110200230111
5204121240320
614304450153
72425216524
oct624405425
9241471576
10106040085
1154947538
122b619959
1318c79b18
14101244bb
159499440
hex6520b15

106040085 has 16 divisors (see below), whose sum is σ = 169820160. Its totient is φ = 56502720.

The previous prime is 106040071. The next prime is 106040087. The reversal of 106040085 is 580040601.

It is not a de Polignac number, because 106040085 - 212 = 106035989 is a prime.

It is a super-2 number, since 2×1060400852 = 22488999253614450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106040087) 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 15 ways as a sum of consecutive naturals, for example, 18156 + ... + 23274.

It is an arithmetic number, because the mean of its divisors is an integer number (10613760).

Almost surely, 2106040085 is an apocalyptic number.

106040085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106040085 is a deficient number, since it is larger than the sum of its proper divisors (63780075).

106040085 is a wasteful number, since it uses less digits than its factorization.

106040085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6508.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 106040085 is about 10297.5766566702. The cubic root of 106040085 is about 473.3219979542.

Adding to 106040085 its reverse (580040601), we get a palindrome (686080686).

The spelling of 106040085 in words is "one hundred six million, forty thousand, eighty-five".

Divisors: 1 3 5 15 1381 4143 5119 6905 15357 20715 25595 76785 7069339 21208017 35346695 106040085