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106719060 = 22357236299
BaseRepresentation
bin1100101110001…
…10011101010100
321102210220000210
412113012131110
5204310002220
614331205420
72434045200
oct627063524
9242726023
10106719060
1155270678
122b8a6870
1319156b96
141025db00
1595806e0
hex65c6754

106719060 has 72 divisors (see below), whose sum is σ = 347608800. Its totient is φ = 24392256.

The previous prime is 106719059. The next prime is 106719061. The reversal of 106719060 is 60917601.

It is an interprime number because it is at equal distance from previous prime (106719059) and next prime (106719061).

It is a super-2 number, since 2×1067190602 = 22777915534567200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106719061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15210 + ... + 21089.

It is an arithmetic number, because the mean of its divisors is an integer number (4827900).

Almost surely, 2106719060 is an apocalyptic number.

106719060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106719060 is an abundant number, since it is smaller than the sum of its proper divisors (240889740).

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

106719060 is a wasteful number, since it uses less digits than its factorization.

106719060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36325 (or 36316 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 106719060 is about 10330.4917598341. The cubic root of 106719060 is about 474.3300768456.

The spelling of 106719060 in words is "one hundred six million, seven hundred nineteen thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 36299 72598 108897 145196 181495 217794 254093 362990 435588 508186 544485 725980 762279 1016372 1088970 1270465 1524558 1778651 2177940 2540930 3049116 3557302 3811395 5081860 5335953 7114604 7622790 8893255 10671906 15245580 17786510 21343812 26679765 35573020 53359530 106719060