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106343405636 = 221323592296581
BaseRepresentation
bin110001100001010001…
…1111001100001000100
3101011111020212201220012
41203002203321201010
53220242402440021
6120504204125352
710453201014326
oct1430243714104
9334436781805
10106343405636
11411110976a6
121873a236858
13a049a92cc0
14520b701616
152b760a735b
hex18c28f9844

106343405636 has 96 divisors (see below), whose sum is σ = 213635923200. Its totient is φ = 45943349760.

The previous prime is 106343405573. The next prime is 106343405639. The reversal of 106343405636 is 636504343601.

It is a happy number.

It is a super-2 number, since 2×1063434056362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106343405593 and 106343405602.

It is not an unprimeable number, because it can be changed into a prime (106343405639) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16155866 + ... + 16162446.

It is an arithmetic number, because the mean of its divisors is an integer number (2225374200).

Almost surely, 2106343405636 is an apocalyptic number.

It is an amenable number.

106343405636 is an abundant number, since it is smaller than the sum of its proper divisors (107292517564).

106343405636 is a wasteful number, since it uses less digits than its factorization.

106343405636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6909 (or 6907 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 41.

The spelling of 106343405636 in words is "one hundred six billion, three hundred forty-three million, four hundred five thousand, six hundred thirty-six".

Divisors: 1 2 4 13 23 26 46 52 59 92 118 229 236 299 458 598 767 916 1196 1357 1534 2714 2977 3068 5267 5428 5954 6581 10534 11908 13162 13511 17641 21068 26324 27022 35282 54044 68471 70564 85553 136942 151363 171106 175643 273884 302726 310753 342212 351286 388279 605452 621506 702572 776558 1243012 1507049 1553116 1967719 3014098 3935438 4039789 5047627 6028196 7870876 8079578 8930417 10095254 16159156 17860834 19591637 20190508 34662127 35721668 39183274 69324254 78366548 88915891 116095421 138648508 177831782 232190842 355663564 450607651 464381684 901215302 1155906583 1802430604 2045065493 2311813166 4090130986 4623626332 8180261972 26585851409 53171702818 106343405636