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105971387 = 172366683
BaseRepresentation
bin1100101000011…
…11111010111011
321101101220102012
412110033322323
5204112041022
614303200135
72424512324
oct624177273
9241356365
10105971387
11548aa965
122b5a604b
1318c54782
141010744b
159483de2
hex650febb

105971387 has 6 divisors (see below), whose sum is σ = 112571988. Its totient is φ = 99737504.

The previous prime is 105971381. The next prime is 105971413. The reversal of 105971387 is 783179501.

It is a de Polignac number, because none of the positive numbers 2k-105971387 is a prime.

It is a super-2 number, since 2×1059713872 = 22459869725407538, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105971381) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 183053 + ... + 183630.

It is an arithmetic number, because the mean of its divisors is an integer number (18761998).

Almost surely, 2105971387 is an apocalyptic number.

105971387 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

105971387 is a deficient number, since it is larger than the sum of its proper divisors (6600601).

105971387 is an equidigital number, since it uses as much as digits as its factorization.

105971387 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366717 (or 366700 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 41.

The square root of 105971387 is about 10294.2404770823. The cubic root of 105971387 is about 473.2197620905.

The spelling of 105971387 in words is "one hundred five million, nine hundred seventy-one thousand, three hundred eighty-seven".

Divisors: 1 17 289 366683 6233611 105971387