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106314230 = 25112412143
BaseRepresentation
bin1100101011000…
…11100111110110
321102001022201002
412111203213312
5204204023410
614314403302
72430441011
oct625434766
9242038632
10106314230
1155014500
122b730532
1319044839
1410196378
1595007a5
hex65639f6

106314230 has 48 divisors (see below), whose sum is σ = 215574912. Its totient is φ = 37699200.

The previous prime is 106314227. The next prime is 106314239. The reversal of 106314230 is 32413601.

It is a super-2 number, since 2×1063142302 = 22605431000985800, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106314239) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48539 + ... + 50681.

It is an arithmetic number, because the mean of its divisors is an integer number (4491144).

Almost surely, 2106314230 is an apocalyptic number.

106314230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106314230 is an abundant number, since it is smaller than the sum of its proper divisors (109260682).

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

106314230 is a wasteful number, since it uses less digits than its factorization.

106314230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 106314230 is about 10310.8792059649. The cubic root of 106314230 is about 473.7295394287.

Adding to 106314230 its reverse (32413601), we get a palindrome (138727831).

The spelling of 106314230 in words is "one hundred six million, three hundred fourteen thousand, two hundred thirty".

Divisors: 1 2 5 10 11 22 41 55 82 110 121 205 242 410 451 605 902 1210 2143 2255 4286 4510 4961 9922 10715 21430 23573 24805 47146 49610 87863 117865 175726 235730 259303 439315 518606 878630 966493 1296515 1932986 2593030 4832465 9664930 10631423 21262846 53157115 106314230