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106036 = 2272541
BaseRepresentation
bin11001111000110100
312101110021
4121320310
511343121
62134524
7621100
oct317064
9171407
10106036
1172737
1251444
1339358
142a900
1521641
hex19e34

106036 has 18 divisors (see below), whose sum is σ = 216258. Its totient is φ = 45360.

The previous prime is 106033. The next prime is 106087. The reversal of 106036 is 630601.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 86436 + 19600 = 294^2 + 140^2 .

It is a super-2 number, since 2×1060362 = 22487266592, which contains 22 as substring.

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 75 + ... + 466.

2106036 is an apocalyptic number.

It is an amenable number.

106036 is an abundant number, since it is smaller than the sum of its proper divisors (110222).

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

106036 is a wasteful number, since it uses less digits than its factorization.

106036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 106036 is about 325.6316937892. The cubic root of 106036 is about 47.3315919922.

Adding to 106036 its reverse (630601), we get a palindrome (736637).

It can be divided in two parts, 10603 and 6, that added together give a square (10609 = 1032).

The spelling of 106036 in words is "one hundred six thousand, thirty-six".

Divisors: 1 2 4 7 14 28 49 98 196 541 1082 2164 3787 7574 15148 26509 53018 106036