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105625929108 = 22374334983791
BaseRepresentation
bin110001001011111001…
…0111100010110010100
3101002122020211011010110
41202113302330112110
53212310214212413
6120305054123020
710426336404120
oct1422762742624
9332566734113
10105625929108
11408830a0997
1218579ab0470
139c64244c8b
1451802d8580
152b330d18c3
hex1897cbc594

105625929108 has 96 divisors (see below), whose sum is σ = 289048883200. Its totient is φ = 29392191360.

The previous prime is 105625929067. The next prime is 105625929119. The reversal of 105625929108 is 801929526501.

It is a super-2 number, since 2×1056259291082 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1218693 + ... + 1302483.

Almost surely, 2105625929108 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 105625929108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144524441600).

105625929108 is an abundant number, since it is smaller than the sum of its proper divisors (183422954092).

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

105625929108 is a wasteful number, since it uses less digits than its factorization.

105625929108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84197 (or 84195 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 48.

The spelling of 105625929108 in words is "one hundred five billion, six hundred twenty-five million, nine hundred twenty-nine thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 129 172 258 301 349 516 602 698 903 1047 1204 1396 1806 2094 2443 3612 4188 4886 7329 9772 14658 15007 29316 30014 45021 60028 83791 90042 105049 167582 180084 210098 251373 315147 335164 420196 502746 586537 630294 1005492 1173074 1260588 1759611 2346148 3519222 3603013 7038444 7206026 10809039 14412052 21618078 25221091 29243059 43236156 50442182 58486118 75663273 87729177 100884364 116972236 151326546 175458354 204701413 302653092 350916708 409402826 614104239 818805652 1228208478 1257451537 2456416956 2514903074 3772354611 5029806148 7544709222 8802160759 15089418444 17604321518 26406482277 35208643036 52812964554 105625929108