Search a number
-
+
106310214 = 232171033373
BaseRepresentation
bin1100101011000…
…10101001000110
321102001010012100
412111202221012
5204203411324
614314332530
72430423213
oct625425106
9242033170
10106310214
115501148a
122b72a146
1319042a6a
1410194b0a
1594ee4c9
hex6562a46

106310214 has 48 divisors (see below), whose sum is σ = 246328992. Its totient is φ = 33018624.

The previous prime is 106310189. The next prime is 106310227. The reversal of 106310214 is 412013601.

It is a happy number.

106310214 is a `hidden beast` number, since 10 + 631 + 0 + 21 + 4 = 666.

It is a super-2 number, since 2×1063102142 = 22603723201451592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29832 + ... + 33204.

It is an arithmetic number, because the mean of its divisors is an integer number (5131854).

Almost surely, 2106310214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106310214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123164496).

106310214 is an abundant number, since it is smaller than the sum of its proper divisors (140018778).

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

106310214 is a wasteful number, since it uses less digits than its factorization.

106310214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3501 (or 3498 counting only the distinct ones).

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

The square root of 106310214 is about 10310.6844583665. The cubic root of 106310214 is about 473.7235743389.

Adding to 106310214 its reverse (412013601), we get a palindrome (518323815).

The spelling of 106310214 in words is "one hundred six million, three hundred ten thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 103 153 206 306 309 618 927 1751 1854 3373 3502 5253 6746 10119 10506 15759 20238 30357 31518 57341 60714 114682 172023 344046 347419 516069 694838 1032138 1042257 2084514 3126771 5906123 6253542 11812246 17718369 35436738 53155107 106310214