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106680211 = 1178712323
BaseRepresentation
bin1100101101111…
…00111110010011
321102201220201221
412112330332103
5204302231321
614330305511
72433524011
oct626747623
9242656657
10106680211
1155244470
122b888297
13191422b1
141024d8b1
159573e41
hex65bcf93

106680211 has 8 divisors (see below), whose sum is σ = 116535744. Its totient is φ = 96850920.

The previous prime is 106680209. The next prime is 106680221. The reversal of 106680211 is 112086601.

106680211 = T75 + T76 + ... + T861.

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

It is a cyclic number.

It is not a de Polignac number, because 106680211 - 21 = 106680209 is a prime.

It is a super-2 number, since 2×1066802112 = 22761334838009042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106680221) 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 7 ways as a sum of consecutive naturals, for example, 2496 + ... + 14818.

It is an arithmetic number, because the mean of its divisors is an integer number (14566968).

Almost surely, 2106680211 is an apocalyptic number.

106680211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106680211 is a deficient number, since it is larger than the sum of its proper divisors (9855533).

106680211 is a wasteful number, since it uses less digits than its factorization.

106680211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13121.

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 106680211 is about 10328.6112812904. The cubic root of 106680211 is about 474.2725129777.

The spelling of 106680211 in words is "one hundred six million, six hundred eighty thousand, two hundred eleven".

Divisors: 1 11 787 8657 12323 135553 9698201 106680211