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106543316589 = 3173771037949
BaseRepresentation
bin110001100111001111…
…0011111111001101101
3101012000012001021011120
41203032132133321231
53221200042112324
6120540105011153
710461146151153
oct1431636377155
9335005037146
10106543316589
1141203a19766
1218795183ab9
13a07c3188c8
14522a09d3d3
152b888e5179
hex18ce79fe6d

106543316589 has 32 divisors (see below), whose sum is σ = 154520524800. Its totient is φ = 65026593792.

The previous prime is 106543316531. The next prime is 106543316597. The reversal of 106543316589 is 985613345601.

It is not a de Polignac number, because 106543316589 - 212 = 106543312493 is a prime.

It is a super-3 number, since 3×1065433165893 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106543316519) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13399387 + ... + 13407335.

It is an arithmetic number, because the mean of its divisors is an integer number (4828766400).

Almost surely, 2106543316589 is an apocalyptic number.

It is an amenable number.

106543316589 is a deficient number, since it is larger than the sum of its proper divisors (47977208211).

106543316589 is a wasteful number, since it uses less digits than its factorization.

106543316589 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15109.

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 106543316589 in words is "one hundred six billion, five hundred forty-three million, three hundred sixteen thousand, five hundred eighty-nine".

Divisors: 1 3 17 37 51 111 629 1887 7103 7949 21309 23847 120751 135133 262811 294113 362253 405399 788433 882339 4467787 4999921 13403361 14999763 56461747 169385241 959849699 2089084639 2879549097 6267253917 35514438863 106543316589