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106679316 = 22359891693
BaseRepresentation
bin1100101101111…
…00110000010100
321102201212111210
412112330300110
5204302214231
614330301420
72433521262
oct626746024
9242655453
10106679316
1155243827
122b887870
1319141a73
141024d432
159573a46
hex65bcc14

106679316 has 48 divisors (see below), whose sum is σ = 256132800. Its totient is φ = 34543872.

The previous prime is 106679299. The next prime is 106679327. The reversal of 106679316 is 613976601.

It is a super-2 number, since 2×1066793162 = 22760952924455712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62166 + ... + 63858.

It is an arithmetic number, because the mean of its divisors is an integer number (5336100).

Almost surely, 2106679316 is an apocalyptic number.

It is an amenable number.

106679316 is an abundant number, since it is smaller than the sum of its proper divisors (149453484).

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

106679316 is a wasteful number, since it uses less digits than its factorization.

106679316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 106679316 is about 10328.5679549490. The cubic root of 106679316 is about 474.2711866614.

The spelling of 106679316 in words is "one hundred six million, six hundred seventy-nine thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 59 89 118 177 178 236 267 354 356 534 708 1068 1693 3386 5079 5251 6772 10158 10502 15753 20316 21004 31506 63012 99887 150677 199774 299661 301354 399548 452031 599322 602708 904062 1198644 1808124 8889943 17779886 26669829 35559772 53339658 106679316