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106106382 = 23319310181
BaseRepresentation
bin1100101001100…
…00111000001110
321101122202121000
412110300320032
5204130401012
614310121130
72425614024
oct624607016
9241582530
10106106382
1154992328
122b6501a6
1318ca1055
1410140714
1594adddc
hex6530e0e

106106382 has 32 divisors (see below), whose sum is σ = 237036960. Its totient is φ = 35182080.

The previous prime is 106106381. The next prime is 106106387. The reversal of 106106382 is 283601601.

106106382 is a `hidden beast` number, since 10 + 6 + 10 + 638 + 2 = 666.

It is a super-2 number, since 2×1061063822 = 22517128602259848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106106381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5332 + ... + 15512.

It is an arithmetic number, because the mean of its divisors is an integer number (7407405).

Almost surely, 2106106382 is an apocalyptic number.

106106382 is an abundant number, since it is smaller than the sum of its proper divisors (130930578).

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

106106382 is a wasteful number, since it uses less digits than its factorization.

106106382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10385 (or 10379 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 106106382 is about 10300.7952120213. The cubic root of 106106382 is about 473.4206188079.

Adding to 106106382 its reverse (283601601), we get a palindrome (389707983).

The spelling of 106106382 in words is "one hundred six million, one hundred six thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 193 386 579 1158 1737 3474 5211 10181 10422 20362 30543 61086 91629 183258 274887 549774 1964933 3929866 5894799 11789598 17684397 35368794 53053191 106106382