Search a number
-
+
106443610 = 25713532207
BaseRepresentation
bin1100101100000…
…11001101011010
321102021220011221
412112003031122
5204222143420
614321242254
72431520140
oct626031532
9242256157
10106443610
11550a2729
122b79338a
131908b6b0
14101cb590
159528caa
hex658335a

106443610 has 64 divisors (see below), whose sum is σ = 240371712. Its totient is φ = 33037056.

The previous prime is 106443593. The next prime is 106443661. The reversal of 106443610 is 16344601.

It is a super-2 number, since 2×1064436102 = 22660484219664200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47127 + ... + 49333.

It is an arithmetic number, because the mean of its divisors is an integer number (3755808).

Almost surely, 2106443610 is an apocalyptic number.

106443610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106443610 is an abundant number, since it is smaller than the sum of its proper divisors (133928102).

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

106443610 is a wasteful number, since it uses less digits than its factorization.

106443610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287.

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 106443610 is about 10317.1512541011. The cubic root of 106443610 is about 473.9216312483.

Subtracting from 106443610 its reverse (16344601), we obtain a palindrome (90099009).

The spelling of 106443610 in words is "one hundred six million, four hundred forty-three thousand, six hundred ten".

Divisors: 1 2 5 7 10 13 14 26 35 53 65 70 91 106 130 182 265 371 455 530 689 742 910 1378 1855 2207 3445 3710 4414 4823 6890 9646 11035 15449 22070 24115 28691 30898 48230 57382 77245 116971 143455 154490 200837 233942 286910 401674 584855 818797 1004185 1169710 1520623 1637594 2008370 3041246 4093985 7603115 8187970 10644361 15206230 21288722 53221805 106443610