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106543684 = 221323972
BaseRepresentation
bin1100101100110…
…11101001000100
321102110222110101
412112123221010
5204233344214
614323333444
72432414662
oct626335104
9242428411
10106543684
1155160935
122b821284
13190c5100
1410215c32
159548774
hex659ba44

106543684 has 27 divisors (see below), whose sum is σ = 202406967. Its totient is φ = 49050144.

The previous prime is 106543681. The next prime is 106543693. The reversal of 106543684 is 486345601.

It is a happy number.

The square root of 106543684 is 10322.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4937284 + 101606400 = 2222^2 + 10080^2 .

It is a super-2 number, since 2×1065436842 = 22703113200583712, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106543681) 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 8 ways as a sum of consecutive naturals, for example, 268174 + ... + 268570.

Almost surely, 2106543684 is an apocalyptic number.

106543684 is the 10322-nd square number.

It is an amenable number.

106543684 is a deficient number, since it is larger than the sum of its proper divisors (95863283).

106543684 is an equidigital number, since it uses as much as digits as its factorization.

106543684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The cubic root of 106543684 is about 474.0701054123.

The spelling of 106543684 in words is "one hundred six million, five hundred forty-three thousand, six hundred eighty-four".

Divisors: 1 2 4 13 26 52 169 338 397 676 794 1588 5161 10322 20644 67093 134186 157609 268372 315218 630436 2048917 4097834 8195668 26635921 53271842 106543684