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105057143808 = 210334198289
BaseRepresentation
bin110000111010111100…
…1001100110000000000
3101001011121112212101020
41201311321030300000
53210124112100213
6120132415105440
710406261663001
oct1416571146000
9331147485336
10105057143808
11406110230a1
121843b512280
139ba3458226
1451289591a8
152aed1cc923
hex1875e4cc00

105057143808 has 44 divisors (see below), whose sum is σ = 280015598520. Its totient is φ = 35019046912.

The previous prime is 105057143803. The next prime is 105057143819. The reversal of 105057143808 is 808341750501.

It is a super-2 number, since 2×1050571438082 (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 105057143808.

It is not an unprimeable number, because it can be changed into a prime (105057143803) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17096073 + ... + 17102216.

Almost surely, 2105057143808 is an apocalyptic number.

It is an amenable number.

105057143808 is an abundant number, since it is smaller than the sum of its proper divisors (174958454712).

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

105057143808 is an equidigital number, since it uses as much as digits as its factorization.

105057143808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34198312 (or 34198294 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

It can be divided in two parts, 105057 and 143808, that added together give a triangular number (248865 = T705).

The spelling of 105057143808 in words is "one hundred five billion, fifty-seven million, one hundred forty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 34198289 68396578 102594867 136793156 205189734 273586312 410379468 547172624 820758936 1094345248 1641517872 2188690496 3283035744 4377380992 6566071488 8754761984 13132142976 17509523968 26264285952 35019047936 52528571904 105057143808