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106603066053 = 3211194313110061
BaseRepresentation
bin110001101001000001…
…0011011001011000101
3101012011100110212000200
41203102002123023011
53221310341103203
6120550041401113
710462503052641
oct1432202331305
9335140425020
10106603066053
1141234719390
12187b1199199
13a08b808813
145233db3c21
152b8dc989a3
hex18d209b2c5

106603066053 has 96 divisors (see below), whose sum is σ = 182333099520. Its totient is φ = 59321808000.

The previous prime is 106603066049. The next prime is 106603066061. The reversal of 106603066053 is 350660306601.

It is a happy number.

106603066053 is a `hidden beast` number, since 10 + 6 + 6 + 0 + 30 + 6 + 605 + 3 = 666.

It is not a de Polignac number, because 106603066053 - 22 = 106603066049 is a prime.

It is a super-2 number, since 2×1066030660532 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106603065999 and 106603066017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106603066033) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10590643 + ... + 10600703.

It is an arithmetic number, because the mean of its divisors is an integer number (1899303120).

Almost surely, 2106603066053 is an apocalyptic number.

It is an amenable number.

106603066053 is a deficient number, since it is larger than the sum of its proper divisors (75730033467).

106603066053 is a wasteful number, since it uses less digits than its factorization.

106603066053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10271 (or 10268 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 106603066053 in words is "one hundred six billion, six hundred three million, sixty-six thousand, fifty-three".

Divisors: 1 3 9 11 19 33 43 57 99 129 131 171 209 387 393 473 627 817 1179 1419 1441 1881 2451 2489 4257 4323 5633 7353 7467 8987 10061 12969 16899 22401 26961 27379 30183 50697 61963 80883 82137 90549 107027 110671 185889 191159 246411 321081 332013 432623 557667 573477 963243 996039 1177297 1297869 1317991 1720431 2102749 3531891 3893607 3953973 4758853 6308247 8219837 10595673 11861919 14276559 14497901 18924741 24659511 25041829 42829677 43493703 56673613 73978533 75125487 90418207 130481109 170020839 225376461 271254621 275460119 510062517 623409743 813763863 826380357 1076798647 1870229229 2479141071 3230395941 5610687687 9691187823 11844785117 35534355351 106603066053