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106054851 = 37137191193
BaseRepresentation
bin1100101001001…
…00010011000011
321101120010220110
412110210103003
5204122223401
614305042403
72425310550
oct624442303
9241503813
10106054851
1154957641
122b626403
1318c83766
1410129a27
15949d9d6
hex65244c3

106054851 has 32 divisors (see below), whose sum is σ = 164487168. Its totient is φ = 59535360.

The previous prime is 106054841. The next prime is 106054859. The reversal of 106054851 is 158450601.

It is not a de Polignac number, because 106054851 - 29 = 106054339 is a prime.

It is a super-2 number, since 2×1060548512 = 22495262841264402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106054859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549411 + ... + 549603.

It is an arithmetic number, because the mean of its divisors is an integer number (5140224).

Almost surely, 2106054851 is an apocalyptic number.

106054851 is a deficient number, since it is larger than the sum of its proper divisors (58432317).

106054851 is a wasteful number, since it uses less digits than its factorization.

106054851 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531.

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 106054851 is about 10298.2935965139. The cubic root of 106054851 is about 473.3439668422.

The spelling of 106054851 in words is "one hundred six million, fifty-four thousand, eight hundred fifty-one".

Divisors: 1 3 7 21 137 191 193 411 573 579 959 1337 1351 2877 4011 4053 26167 26441 36863 78501 79323 110589 183169 185087 258041 549507 555261 774123 5050231 15150693 35351617 106054851