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106796225520 = 243651831211
BaseRepresentation
bin110001101110110001…
…1010001001111110000
3101012122210221101000000
41203131203101033300
53222204313204040
6121021141430000
710500336640035
oct1433543211760
9335583841000
10106796225520
1141323759a06
1218845a0b300
13a0bc83936a
1452518d538c
152ba0c01130
hex18dd8d13f0

106796225520 has 140 divisors (see below), whose sum is σ = 372281737176. Its totient is φ = 28478977920.

The previous prime is 106796225509. The next prime is 106796225527. The reversal of 106796225520 is 25522697601.

106796225520 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 96 + 2 + 2 + 552 + 0 = 666.

It is a super-2 number, since 2×1067962255202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106796225527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 857286 + ... + 973925.

Almost surely, 2106796225520 is an apocalyptic number.

106796225520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106796225520 is an abundant number, since it is smaller than the sum of its proper divisors (265485511656).

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

106796225520 is an equidigital number, since it uses as much as digits as its factorization.

106796225520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831242 (or 1831221 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 106796225520 in words is "one hundred six billion, seven hundred ninety-six million, two hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 972 1080 1215 1296 1458 1620 1944 2160 2430 2916 3240 3645 3888 4860 5832 6480 7290 9720 11664 14580 19440 29160 58320 1831211 3662422 5493633 7324844 9156055 10987266 14649688 16480899 18312110 21974532 27468165 29299376 32961798 36624220 43949064 49442697 54936330 65923596 73248440 82404495 87898128 98885394 109872660 131847192 146496880 148328091 164808990 197770788 219745320 247213485 263694384 296656182 329617980 395541576 439490640 444984273 494426970 593312364 659235960 741640455 791083152 889968546 988853940 1186624728 1318471920 1334952819 1483280910 1779937092 1977707880 2224921365 2373249456 2669905638 2966561820 3559874184 3955415760 4449842730 5339811276 5933123640 6674764095 7119748368 8899685460 10679622552 11866247280 13349528190 17799370920 21359245104 26699056380 35598741840 53398112760 106796225520