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105806371 = 1123418207
BaseRepresentation
bin1100100111001…
…11101000100011
321101002112001111
412103213220203
5204041300441
614255444151
72423224246
oct623475043
9241075044
10105806371
11547a7990
122b526657
1318bc7628
14100a325d
159450081
hex64e7a23

105806371 has 8 divisors (see below), whose sum is σ = 120443904. Its totient is φ = 92005320.

The previous prime is 105806369. The next prime is 105806381. The reversal of 105806371 is 173608501.

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

It is not a de Polignac number, because 105806371 - 21 = 105806369 is a prime.

It is a super-2 number, since 2×1058063712 = 22389976288379282, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105806321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208851 + ... + 209356.

It is an arithmetic number, because the mean of its divisors is an integer number (15055488).

Almost surely, 2105806371 is an apocalyptic number.

105806371 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105806371 is a deficient number, since it is larger than the sum of its proper divisors (14637533).

105806371 is a wasteful number, since it uses less digits than its factorization.

105806371 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418241.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 105806371 is about 10286.2223872518. Note that the first 3 decimals coincide. The cubic root of 105806371 is about 472.9740058154.

The spelling of 105806371 in words is "one hundred five million, eight hundred six thousand, three hundred seventy-one".

Divisors: 1 11 23 253 418207 4600277 9618761 105806371