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106223305064 = 23237322813467
BaseRepresentation
bin110001011101101100…
…1110000000101101000
3101011011212212222212212
41202323121300011220
53220021131230224
6120444234024252
710450212124022
oct1427331600550
9334155788785
10106223305064
114105a317328
1218705b78088
13a02ac32386
1451d979b012
152b6a781d0e
hex18bb670168

106223305064 has 64 divisors (see below), whose sum is σ = 210828320640. Its totient is φ = 50070113280.

The previous prime is 106223305031. The next prime is 106223305117. The reversal of 106223305064 is 460503322601.

It is a super-2 number, since 2×1062233050642 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106223305064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30636659 + ... + 30640125.

It is an arithmetic number, because the mean of its divisors is an integer number (3294192510).

Almost surely, 2106223305064 is an apocalyptic number.

It is an amenable number.

106223305064 is a deficient number, since it is larger than the sum of its proper divisors (104605015576).

106223305064 is a wasteful number, since it uses less digits than its factorization.

106223305064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5850 (or 5846 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 106223305064 its reverse (460503322601), we get a palindrome (566726627665).

The spelling of 106223305064 in words is "one hundred six billion, two hundred twenty-three million, three hundred five thousand, sixty-four".

Divisors: 1 2 4 8 23 46 73 92 146 184 292 584 1679 2281 3358 3467 4562 6716 6934 9124 13432 13868 18248 27736 52463 79741 104926 159482 166513 209852 253091 318964 333026 419704 506182 637928 666052 1012364 1332104 2024728 3829799 5821093 7659598 7908227 11642186 15319196 15816454 23284372 30638392 31632908 46568744 63265816 181889221 363778442 577300571 727556884 1154601142 1455113768 2309202284 4618404568 13277913133 26555826266 53111652532 106223305064