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106503509 = 7213071663
BaseRepresentation
bin1100101100100…
…01110101010101
321102101221100102
412112101311111
5204231103014
614322423445
72432156600
oct626216525
9242357312
10106503509
1155133732
122b801b85
13190aca38
1410205337
15953b8de
hex6591d55

106503509 has 12 divisors (see below), whose sum is σ = 124061184. Its totient is φ = 91164024.

The previous prime is 106503497. The next prime is 106503511. The reversal of 106503509 is 905305601.

It is a de Polignac number, because none of the positive numbers 2k-106503509 is a prime.

It is a super-2 number, since 2×1065035092 = 22685994858626162, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106503539) 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, 63212 + ... + 64874.

It is an arithmetic number, because the mean of its divisors is an integer number (10338432).

Almost surely, 2106503509 is an apocalyptic number.

It is an amenable number.

106503509 is a deficient number, since it is larger than the sum of its proper divisors (17557675).

106503509 is a wasteful number, since it uses less digits than its factorization.

106503509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2984 (or 2977 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 29.

The square root of 106503509 is about 10320.0537304803. The cubic root of 106503509 is about 474.0105111997.

The spelling of 106503509 in words is "one hundred six million, five hundred three thousand, five hundred nine".

Divisors: 1 7 49 1307 1663 9149 11641 64043 81487 2173541 15214787 106503509