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106741376 = 277119131
BaseRepresentation
bin1100101110010…
…11111010000000
321102212000122022
412113023322000
5204311211001
614331501012
72434200230
oct627137200
9242760568
10106741376
1155286415
122b8b7768
13191640a1
1410267cc0
15958711b
hex65cbe80

106741376 has 32 divisors (see below), whose sum is σ = 243029280. Its totient is φ = 45745920.

The previous prime is 106741363. The next prime is 106741379. The reversal of 106741376 is 673147601.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1067413762 = 22787442700746752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106741379) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 58670 + ... + 60461.

It is an arithmetic number, because the mean of its divisors is an integer number (7594665).

Almost surely, 2106741376 is an apocalyptic number.

106741376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106741376 is an abundant number, since it is smaller than the sum of its proper divisors (136287904).

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

106741376 is an equidigital number, since it uses as much as digits as its factorization.

106741376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119152 (or 119140 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 106741376 is about 10331.5718068453. The cubic root of 106741376 is about 474.3631368953.

Adding to 106741376 its reverse (673147601), we get a palindrome (779888977).

The spelling of 106741376 in words is "one hundred six million, seven hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 119131 238262 476524 833917 953048 1667834 1906096 3335668 3812192 6671336 7624384 13342672 15248768 26685344 53370688 106741376