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105196929684 = 22373112323459
BaseRepresentation
bin110000111111000111…
…0011100001010010100
3101001112100120201112220
41201332032130022110
53210420403222214
6120154331142340
710412610102000
oct1417616341224
9331470521486
10105196929684
1140682a19310
121847a2a49b0
139bc63bbc72
14513d345700
152b0a5e09a9
hex187e39c294

105196929684 has 96 divisors (see below), whose sum is σ = 312273024000. Its totient is φ = 27323866080.

The previous prime is 105196929667. The next prime is 105196929707. The reversal of 105196929684 is 486929691501.

It is a super-2 number, since 2×1051969296842 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1116454 + ... + 1207005.

It is an arithmetic number, because the mean of its divisors is an integer number (3252844000).

Almost surely, 2105196929684 is an apocalyptic number.

105196929684 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105196929684 is an abundant number, since it is smaller than the sum of its proper divisors (207076094316).

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

105196929684 is a wasteful number, since it uses less digits than its factorization.

105196929684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323498 (or 2323482 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 60.

The spelling of 105196929684 in words is "one hundred five billion, one hundred ninety-six million, nine hundred twenty-nine thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 343 462 539 588 686 924 1029 1078 1372 1617 2058 2156 3234 3773 4116 6468 7546 11319 15092 22638 45276 2323459 4646918 6970377 9293836 13940754 16264213 25558049 27881508 32528426 48792639 51116098 65056852 76674147 97585278 102232196 113849491 153348294 178906343 195170556 227698982 306696588 341548473 357812686 455397964 536719029 683096946 715625372 796946437 1073438058 1252344401 1366193892 1593892874 2146876116 2390839311 2504688802 3187785748 3757033203 4781678622 5009377604 7514066406 8766410807 9563357244 15028132812 17532821614 26299232421 35065643228 52598464842 105196929684