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106010560124 = 22723297617459
BaseRepresentation
bin110001010111010111…
…0001100011001111100
3101010122001120102200122
41202232232030121330
53214102200410444
6120411154114112
710442016615260
oct1425656143174
9333561512618
10106010560124
1140a60219967
121866687b938
139cc5b34cb1
1451b941c0a0
152b56c5b4ee
hex18aeb8c67c

106010560124 has 96 divisors (see below), whose sum is σ = 229199846400. Its totient is φ = 41898447360.

The previous prime is 106010560093. The next prime is 106010560157. The reversal of 106010560124 is 421065010601.

It is a super-2 number, since 2×1060105601242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106010560093 and 106010560102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14208707 + ... + 14216165.

It is an arithmetic number, because the mean of its divisors is an integer number (2387498400).

Almost surely, 2106010560124 is an apocalyptic number.

106010560124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106010560124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114599923200).

106010560124 is an abundant number, since it is smaller than the sum of its proper divisors (123189286276).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106010560124 is a wasteful number, since it uses less digits than its factorization.

106010560124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8283 (or 8281 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 106010560124 its reverse (421065010601), we get a palindrome (527075570725).

The spelling of 106010560124 in words is "one hundred six billion, ten million, five hundred sixty thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 29 46 58 92 116 161 203 322 406 644 667 761 812 1334 1522 2668 3044 4669 5327 7459 9338 10654 14918 17503 18676 21308 22069 29836 35006 44138 52213 70012 88276 104426 122521 154483 171557 208852 216311 245042 308966 343114 432622 490084 507587 617932 686228 865244 1015174 1200899 1514177 2030348 2401798 3028354 3553109 4803596 4975153 5676299 6056708 7106218 9950306 11352598 14212436 19900612 22705196 34826071 39734093 69652142 79468186 130554877 139304284 158936372 164612671 261109754 329225342 522219508 658450684 913884139 1152288697 1827768278 2304577394 3655536556 3786091433 4609154788 7572182866 15144365732 26502640031 53005280062 106010560124