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10106208 = 25347557
BaseRepresentation
bin100110100011…
…010101100000
3201000110010000
4212203111200
510041344313
61000340000
7151621110
oct46432540
921013100
1010106208
115782a42
123474600
13212b008
1414b1040
15d49673
hex9a3560

10106208 has 120 divisors (see below), whose sum is σ = 34029072. Its totient is φ = 2882304.

The previous prime is 10106203. The next prime is 10106227. The reversal of 10106208 is 80260101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106203) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17866 + ... + 18422.

Almost surely, 210106208 is an apocalyptic number.

10106208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10106208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17014536).

10106208 is an abundant number, since it is smaller than the sum of its proper divisors (23922864).

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

10106208 is an equidigital number, since it uses as much as digits as its factorization.

10106208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10106208 is about 3179.0262660129. The cubic root of 10106208 is about 216.2035118977.

Adding to 10106208 its reverse (80260101), we get a palindrome (90366309).

The spelling of 10106208 in words is "ten million, one hundred six thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 557 567 648 672 756 864 1008 1114 1134 1296 1512 1671 2016 2228 2268 2592 3024 3342 3899 4456 4536 5013 6048 6684 7798 8912 9072 10026 11697 13368 15039 15596 17824 18144 20052 23394 26736 30078 31192 35091 40104 45117 46788 53472 60156 62384 70182 80208 90234 93576 105273 120312 124768 140364 160416 180468 187152 210546 240624 280728 315819 360936 374304 421092 481248 561456 631638 721872 842184 1122912 1263276 1443744 1684368 2526552 3368736 5053104 10106208