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106443344 = 2474773277
BaseRepresentation
bin1100101100000…
…11001001010000
321102021212211002
412112003021100
5204222141334
614321241132
72431516310
oct626031120
9242255732
10106443344
11550a2507
122b7931a8
131908b537
14101cb440
159528b7e
hex6583250

106443344 has 80 divisors (see below), whose sum is σ = 244889088. Its totient is φ = 43877376.

The previous prime is 106443319. The next prime is 106443349. The reversal of 106443344 is 443344601.

It is a super-2 number, since 2×1064433442 = 22660370963804672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106443349) 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, 384134 + ... + 384410.

Almost surely, 2106443344 is an apocalyptic number.

106443344 is a gapful number since it is divisible by the number (14) 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 106443344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122444544).

106443344 is an abundant number, since it is smaller than the sum of its proper divisors (138445744).

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

106443344 is a wasteful number, since it uses less digits than its factorization.

106443344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 106443344 is about 10317.1383629377. The cubic root of 106443344 is about 473.9212364751.

Adding to 106443344 its reverse (443344601), we get a palindrome (549787945).

The spelling of 106443344 in words is "one hundred six million, four hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 47 56 73 94 112 146 188 277 292 329 376 511 554 584 658 752 1022 1108 1168 1316 1939 2044 2216 2632 3431 3878 4088 4432 5264 6862 7756 8176 13019 13724 15512 20221 24017 26038 27448 31024 40442 48034 52076 54896 80884 91133 96068 104152 141547 161768 182266 192136 208304 283094 323536 364532 384272 566188 729064 950387 1132376 1458128 1900774 2264752 3801548 6652709 7603096 13305418 15206192 26610836 53221672 106443344