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106510041 = 32111075859
BaseRepresentation
bin1100101100100…
…11011011011001
321102102021022100
412112103123121
5204231310131
614322514013
72432214621
oct626233331
9242367270
10106510041
1155138630
122b805909
13190b29c1
1410207881
15953d7e6
hex65936d9

106510041 has 12 divisors (see below), whose sum is σ = 167834160. Its totient is φ = 64551480.

The previous prime is 106509979. The next prime is 106510043. The reversal of 106510041 is 140015601.

106510041 is a `hidden beast` number, since 10 + 651 + 0 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 106510041 - 211 = 106507993 is a prime.

It is a super-2 number, since 2×1065100412 = 22688777667643362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106509996 and 106510023.

It is not an unprimeable number, because it can be changed into a prime (106510043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 537831 + ... + 538028.

It is an arithmetic number, because the mean of its divisors is an integer number (13986180).

Almost surely, 2106510041 is an apocalyptic number.

106510041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106510041 is a deficient number, since it is larger than the sum of its proper divisors (61324119).

106510041 is a wasteful number, since it uses less digits than its factorization.

106510041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075876 (or 1075873 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 106510041 is about 10320.3701968486. The cubic root of 106510041 is about 474.0202015638.

Adding to 106510041 its reverse (140015601), we get a palindrome (246525642).

The spelling of 106510041 in words is "one hundred six million, five hundred ten thousand, forty-one".

Divisors: 1 3 9 11 33 99 1075859 3227577 9682731 11834449 35503347 106510041