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105800197 = 177978779
BaseRepresentation
bin1100100111001…
…10001000000101
321101002012120211
412103212020011
5204041101242
614255355421
72423200246
oct623461005
9241065524
10105800197
11547a3288
122b522b71
1318bc4889
14100a0ccd
15944d317
hex64e6205

105800197 has 8 divisors (see below), whose sum is σ = 113443200. Its totient is φ = 98314944.

The previous prime is 105800173. The next prime is 105800237. The reversal of 105800197 is 791008501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-105800197 is a prime.

It is a super-2 number, since 2×1058001972 = 22387363370477618, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105800147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38047 + ... + 40732.

It is an arithmetic number, because the mean of its divisors is an integer number (14180400).

Almost surely, 2105800197 is an apocalyptic number.

105800197 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

105800197 is a deficient number, since it is larger than the sum of its proper divisors (7643003).

105800197 is an equidigital number, since it uses as much as digits as its factorization.

105800197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78875.

The product of its (nonzero) digits is 2520, while the sum is 31.

The square root of 105800197 is about 10285.9222726987. The cubic root of 105800197 is about 472.9648059966.

Adding to 105800197 its reverse (791008501), we get a palindrome (896808698).

The spelling of 105800197 in words is "one hundred five million, eight hundred thousand, one hundred ninety-seven".

Divisors: 1 17 79 1343 78779 1339243 6223541 105800197