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105129486 = 232711101751
BaseRepresentation
bin1100100010000…
…10011000001110
321022211010112200
412101002120032
5203403120421
614233142330
72414404650
oct621023016
9238733480
10105129486
1154385380
122b25a9a6
1318a1b4c7
14dd686d0
159369726
hex644260e

105129486 has 96 divisors (see below), whose sum is σ = 287179776. Its totient is φ = 27000000.

The previous prime is 105129449. The next prime is 105129491. The reversal of 105129486 is 684921501.

It is a super-2 number, since 2×1051294862 = 22104417653248392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105129486.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139611 + ... + 140361.

It is an arithmetic number, because the mean of its divisors is an integer number (2991456).

Almost surely, 2105129486 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105129486, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143589888).

105129486 is an abundant number, since it is smaller than the sum of its proper divisors (182050290).

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

105129486 is a wasteful number, since it uses less digits than its factorization.

105129486 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 105129486 is about 10253.2670890795. The cubic root of 105129486 is about 471.9632470425.

The spelling of 105129486 in words is "one hundred five million, one hundred twenty-nine thousand, four hundred eighty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 101 126 154 198 202 231 303 462 606 693 707 751 909 1111 1386 1414 1502 1818 2121 2222 2253 3333 4242 4506 5257 6363 6666 6759 7777 8261 9999 10514 12726 13518 15554 15771 16522 19998 23331 24783 31542 46662 47313 49566 57827 69993 74349 75851 94626 115654 139986 148698 151702 173481 227553 346962 455106 520443 530957 682659 834361 1040886 1061914 1365318 1592871 1668722 2503083 3185742 4778613 5006166 5840527 7509249 9557226 11681054 15018498 17521581 35043162 52564743 105129486