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106382516 = 22435691087
BaseRepresentation
bin1100101011101…
…00010010110100
321102011210101012
412111310102310
5204213220031
614320051352
72431144052
oct625642264
9242153335
10106382516
1155060839
122b763b58
1319069946
14101b31d2
159515b2b
hex65744b4

106382516 has 24 divisors (see below), whose sum is σ = 191009280. Its totient is φ = 51815232.

The previous prime is 106382513. The next prime is 106382537. The reversal of 106382516 is 615283601.

It is a happy number.

It is a super-2 number, since 2×1063825162 = 22634479420980512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106382513) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 97325 + ... + 98411.

It is an arithmetic number, because the mean of its divisors is an integer number (7958720).

Almost surely, 2106382516 is an apocalyptic number.

It is an amenable number.

106382516 is a deficient number, since it is larger than the sum of its proper divisors (84626764).

106382516 is a wasteful number, since it uses less digits than its factorization.

106382516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 106382516 is about 10314.1900312143. The cubic root of 106382516 is about 473.8309437650.

The spelling of 106382516 in words is "one hundred six million, three hundred eighty-two thousand, five hundred sixteen".

Divisors: 1 2 4 43 86 172 569 1087 1138 2174 2276 4348 24467 46741 48934 93482 97868 186964 618503 1237006 2474012 26595629 53191258 106382516