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106543625 = 534120789
BaseRepresentation
bin1100101100110…
…11101000001001
321102110222101012
412112123220021
5204233344000
614323333305
72432414546
oct626335011
9242428335
10106543625
1155160891
122b821235
13190c5086
1410215bcd
159548735
hex659ba09

106543625 has 16 divisors (see below), whose sum is σ = 136216080. Its totient is φ = 83152000.

The previous prime is 106543579. The next prime is 106543669. The reversal of 106543625 is 526345601.

It can be written as a sum of positive squares in 8 ways, for example, as 40998409 + 65545216 = 6403^2 + 8096^2 .

It is a de Polignac number, because none of the positive numbers 2k-106543625 is a prime.

It is a super-2 number, since 2×1065436252 = 22703088056281250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106543591 and 106543600.

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 15 ways as a sum of consecutive naturals, for example, 5270 + ... + 15519.

It is an arithmetic number, because the mean of its divisors is an integer number (8513505).

Almost surely, 2106543625 is an apocalyptic number.

It is an amenable number.

106543625 is a deficient number, since it is larger than the sum of its proper divisors (29672455).

106543625 is an equidigital number, since it uses as much as digits as its factorization.

106543625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20845 (or 20835 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 106543625 is about 10321.9971420263. The cubic root of 106543625 is about 474.0700179047.

The spelling of 106543625 in words is "one hundred six million, five hundred forty-three thousand, six hundred twenty-five".

Divisors: 1 5 25 41 125 205 1025 5125 20789 103945 519725 852349 2598625 4261745 21308725 106543625