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106082865 = 355712473
BaseRepresentation
bin1100101001010…
…11001000110001
321101121120100000
412110223020301
5204124122430
614305420213
72425455330
oct624531061
9241546300
10106082865
1154976699
122b63a669
1318c93435
1410135d17
1594a6e60
hex652b231

106082865 has 48 divisors (see below), whose sum is σ = 217945728. Its totient is φ = 48491136.

The previous prime is 106082863. The next prime is 106082897. The reversal of 106082865 is 568280601.

It is a happy number.

It is not a de Polignac number, because 106082865 - 21 = 106082863 is a prime.

It is a super-2 number, since 2×1060828652 = 22507148493216450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106082861) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2269 + ... + 14741.

It is an arithmetic number, because the mean of its divisors is an integer number (4540536).

Almost surely, 2106082865 is an apocalyptic number.

106082865 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106082865 is an abundant number, since it is smaller than the sum of its proper divisors (111862863).

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

106082865 is an equidigital number, since it uses as much as digits as its factorization.

106082865 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12500 (or 12488 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 106082865 is about 10299.6536349530. The cubic root of 106082865 is about 473.3856405308.

The spelling of 106082865 in words is "one hundred six million, eighty-two thousand, eight hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 243 315 405 567 945 1215 1701 2835 8505 12473 37419 62365 87311 112257 187095 261933 336771 436555 561285 785799 1010313 1309665 1683855 2357397 3030939 3928995 5051565 7072191 11786985 15154695 21216573 35360955 106082865