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106010560524 = 223116731737813
BaseRepresentation
bin110001010111010111…
…0001100100000001100
3101010122001120110020110
41202232232030200030
53214102200414044
6120411154120020
710442016616401
oct1425656144014
9333561513213
10106010560524
1140a6021a1a0
1218666880010
139cc5b3522b
1451b941c2a8
152b56c5b6b9
hex18aeb8c80c

106010560524 has 96 divisors (see below), whose sum is σ = 274743818496. Its totient is φ = 31544282880.

The previous prime is 106010560493. The next prime is 106010560543. The reversal of 106010560524 is 425065010601.

It is a super-2 number, since 2×1060105605242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106010560491 and 106010560500.

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, 2784642 + ... + 2822454.

It is an arithmetic number, because the mean of its divisors is an integer number (2861914776).

Almost surely, 2106010560524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106010560524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137371909248).

106010560524 is an abundant number, since it is smaller than the sum of its proper divisors (168733257972).

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

106010560524 is a wasteful number, since it uses less digits than its factorization.

106010560524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38215 (or 38213 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 106010560524 in words is "one hundred six billion, ten million, five hundred sixty thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 132 134 201 268 317 402 634 737 804 951 1268 1474 1902 2211 2948 3487 3804 4422 6974 8844 10461 13948 20922 21239 37813 41844 42478 63717 75626 84956 113439 127434 151252 226878 233629 254868 415943 453756 467258 700887 831886 934516 1247829 1401774 1663772 2495658 2533471 2803548 4991316 5066942 7600413 10133884 11986721 15200826 23973442 27868181 30401652 35960163 47946884 55736362 71920326 83604543 111472724 131853931 143840652 167209086 263707862 334418172 395561793 527415724 791123586 803110307 1582247172 1606220614 2409330921 3212441228 4818661842 8834213377 9637323684 17668426754 26502640131 35336853508 53005280262 106010560524