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106354720485 = 32513312375113
BaseRepresentation
bin110001100001100111…
…1000011111011100101
3101011112001011120221200
41203003033003323211
53220303302023420
6120505250433113
710453366131246
oct1430317037345
9334461146850
10106354720485
1141117515712
1218741b92799
13a04c225190
14520d008ccd
152b7708eb90
hex18c33c3ee5

106354720485 has 144 divisors (see below), whose sum is σ = 210725070192. Its totient is φ = 49291130880.

The previous prime is 106354720481. The next prime is 106354720501. The reversal of 106354720485 is 584027453601.

106354720485 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 547 + 20 + 4 + 85 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14774645601 + 91580074884 = 121551^2 + 302622^2 .

It is not a de Polignac number, because 106354720485 - 22 = 106354720481 is a prime.

It is a super-2 number, since 2×1063547204852 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106354720485.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106354720481) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20798289 + ... + 20803401.

It is an arithmetic number, because the mean of its divisors is an integer number (1463368543).

Almost surely, 2106354720485 is an apocalyptic number.

106354720485 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106354720485 is a deficient number, since it is larger than the sum of its proper divisors (104370349707).

106354720485 is a wasteful number, since it uses less digits than its factorization.

106354720485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5236 (or 5202 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 106354720485 in words is "one hundred six billion, three hundred fifty-four million, seven hundred twenty thousand, four hundred eighty-five".

Divisors: 1 3 5 9 13 15 31 37 39 45 65 93 111 117 155 185 195 279 333 403 465 481 555 585 961 1147 1209 1395 1443 1665 2015 2405 2883 3441 3627 4329 4805 5113 5735 6045 7215 8649 10323 12493 14415 14911 15339 17205 18135 21645 25565 35557 37479 43245 44733 46017 51615 62465 66469 74555 76695 106671 112437 134199 158503 177785 187395 189181 199407 223665 230085 320013 332345 462241 475509 533355 562185 567543 598221 670995 792515 945905 997035 1386723 1426527 1600065 1702629 2060539 2311205 2377545 2459353 2837715 2991105 4160169 4913593 5864611 6181617 6933615 7132635 7378059 8513145 10302695 12296765 14740779 17593833 18544851 20800845 22134177 24567965 29323055 30908085 36890295 44222337 52781499 63876709 73703895 76239943 87969165 92724255 110670885 181802941 191630127 221111685 228719829 263907495 319383545 381199715 545408823 574890381 686159487 909014705 958150635 1143599145 1636226469 2363438233 2727044115 2874451905 3430797435 7090314699 8181132345 11817191165 21270944097 35451573495 106354720485