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105096149256 = 23373643171719
BaseRepresentation
bin110000111100000110…
…1111111100100001000
3101001021022221112210110
41201320031333210020
53210214103234011
6120140331114320
710410244346340
oct1417015774410
9331238845713
10105096149256
11406310444aa
12184505a29a0
139bab564187
14512dbcdd20
152b01834ba6
hex187837f908

105096149256 has 64 divisors (see below), whose sum is σ = 300358886400. Its totient is φ = 30019053888.

The previous prime is 105096149159. The next prime is 105096149303. The reversal of 105096149256 is 652941690501.

It is a super-2 number, since 2×1050961492562 (a number of 23 digits) contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526165 + ... + 697883.

It is an arithmetic number, because the mean of its divisors is an integer number (4693107600).

Almost surely, 2105096149256 is an apocalyptic number.

It is an amenable number.

105096149256 is an abundant number, since it is smaller than the sum of its proper divisors (195262737144).

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

105096149256 is a wasteful number, since it uses less digits than its factorization.

105096149256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175378 (or 175374 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The spelling of 105096149256 in words is "one hundred five billion, ninety-six million, one hundred forty-nine thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 3643 7286 10929 14572 21858 25501 29144 43716 51002 76503 87432 102004 153006 171719 204008 306012 343438 515157 612024 686876 1030314 1202033 1373752 2060628 2404066 3606099 4121256 4808132 7212198 9616264 14424396 28848792 625572317 1251144634 1876716951 2502289268 3753433902 4379006219 5004578536 7506867804 8758012438 13137018657 15013735608 17516024876 26274037314 35032049752 52548074628 105096149256