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105800637378 = 2359372780191
BaseRepresentation
bin110001010001000110…
…1011001101111000010
3101010002102120020211010
41202202031121233002
53213134430344003
6120334254501350
710433560402512
oct1424215315702
9333072506733
10105800637378
1140962779897
1218608504856
139c914b5357
1451995b5842
152b435e2003
hex18a2359bc2

105800637378 has 32 divisors (see below), whose sum is σ = 215248158720. Its totient is φ = 34659401040.

The previous prime is 105800637367. The next prime is 105800637407. The reversal of 105800637378 is 873736008501.

It is a super-2 number, since 2×1058006373782 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1279263 + ... + 1359453.

It is an arithmetic number, because the mean of its divisors is an integer number (6726504960).

Almost surely, 2105800637378 is an apocalyptic number.

105800637378 is an abundant number, since it is smaller than the sum of its proper divisors (109447521342).

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

105800637378 is a wasteful number, since it uses less digits than its factorization.

105800637378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83982.

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 105800637378 in words is "one hundred five billion, eight hundred million, six hundred thirty-seven thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 59 118 177 354 3727 7454 11181 22362 80191 160382 219893 240573 439786 481146 659679 1319358 4731269 9462538 14193807 28387614 298871857 597743714 896615571 1793231142 17633439563 35266879126 52900318689 105800637378