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106083 = 333929
BaseRepresentation
bin11001111001100011
312101112000
4121321203
511343313
62135043
7621165
oct317143
9171460
10106083
117277a
1251483
1339393
142a935
1521673
hex19e63

106083 has 8 divisors (see below), whose sum is σ = 157200. Its totient is φ = 70704.

The previous prime is 106033. The next prime is 106087. The reversal of 106083 is 380601.

106083 is nontrivially palindromic in base 13.

It is not a de Polignac number, because 106083 - 26 = 106019 is a prime.

It is a super-2 number, since 2×1060832 = 22507205778, which contains 22 as substring.

It is an Ulam number.

106083 is an undulating number in base 13.

106083 is a lucky number.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (106087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1938 + ... + 1991.

It is an arithmetic number, because the mean of its divisors is an integer number (19650).

2106083 is an apocalyptic number.

106083 is a deficient number, since it is larger than the sum of its proper divisors (51117).

106083 is an equidigital number, since it uses as much as digits as its factorization.

106083 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3938 (or 3932 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106083 is about 325.7038532164. The cubic root of 106083 is about 47.3385841339.

Adding to 106083 its reverse (380601), we get a palindrome (486684).

The spelling of 106083 in words is "one hundred six thousand, eighty-three".

Divisors: 1 3 9 27 3929 11787 35361 106083