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106042866 = 23732391013
BaseRepresentation
bin1100101001000…
…01010111110010
321101112112110120
412110201113302
5204121332431
614304511110
72425230606
oct624412762
9241475416
10106042866
1154949636
122b61b496
1318c7b177
1410125506
15949a196
hex65215f2

106042866 has 32 divisors (see below), whose sum is σ = 216103680. Its totient is φ = 34683264.

The previous prime is 106042861. The next prime is 106042891. The reversal of 106042866 is 668240601.

It is a happy number.

It is a super-2 number, since 2×1060428662 = 22490178858987912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106042861) 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 15 ways as a sum of consecutive naturals, for example, 104176 + ... + 105188.

It is an arithmetic number, because the mean of its divisors is an integer number (6753240).

Almost surely, 2106042866 is an apocalyptic number.

106042866 is an abundant number, since it is smaller than the sum of its proper divisors (110060814).

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

106042866 is a wasteful number, since it uses less digits than its factorization.

106042866 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 106042866 is about 10297.7116875547. The cubic root of 106042866 is about 473.3261356881.

The spelling of 106042866 in words is "one hundred six million, forty-two thousand, eight hundred sixty-six".

Divisors: 1 2 3 6 73 146 219 239 438 478 717 1013 1434 2026 3039 6078 17447 34894 52341 73949 104682 147898 221847 242107 443694 484214 726321 1452642 17673811 35347622 53021433 106042866