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106443040 = 25511197307
BaseRepresentation
bin1100101100000…
…11000100100000
321102021212101211
412112003010200
5204222134130
614321235504
72431515364
oct626030440
9242255354
10106443040
11550a2260
122b792b94
131908b362
14101cb2a4
159528a2a
hex6583120

106443040 has 96 divisors (see below), whose sum is σ = 276623424. Its totient is φ = 38384640.

The previous prime is 106442983. The next prime is 106443041. The reversal of 106443040 is 40344601.

It is a happy number.

It is a super-2 number, since 2×1064430402 = 22660241528883200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (106443041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346567 + ... + 346873.

It is an arithmetic number, because the mean of its divisors is an integer number (2881494).

Almost surely, 2106443040 is an apocalyptic number.

106443040 is a gapful number since it is divisible by the number (10) 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 106443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138311712).

106443040 is an abundant number, since it is smaller than the sum of its proper divisors (170180384).

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

106443040 is a wasteful number, since it uses less digits than its factorization.

106443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 106443040 is about 10317.1236301597. The cubic root of 106443040 is about 473.9207853049.

Adding to 106443040 its reverse (40344601), we get a palindrome (146787641).

The spelling of 106443040 in words is "one hundred six million, four hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 197 220 307 352 394 440 614 788 880 985 1228 1535 1576 1760 1970 2167 2456 3070 3152 3377 3940 4334 4912 6140 6304 6754 7880 8668 9824 10835 12280 13508 15760 16885 17336 21670 24560 27016 31520 33770 34672 43340 49120 54032 60479 67540 69344 86680 108064 120958 135080 173360 241916 270160 302395 346720 483832 540320 604790 665269 967664 1209580 1330538 1935328 2419160 2661076 3326345 4838320 5322152 6652690 9676640 10644304 13305380 21288608 26610760 53221520 106443040