Search a number
-
+
106323066 = 232172315107
BaseRepresentation
bin1100101011001…
…01110001111010
321102001202211100
412111211301322
5204204314231
614314512230
72430505533
oct625456172
9242052740
10106323066
1155020103
122b735676
1319048875
141019968a
1595031e6
hex6565c7a

106323066 has 48 divisors (see below), whose sum is σ = 254539584. Its totient is φ = 31903872.

The previous prime is 106323059. The next prime is 106323079. The reversal of 106323066 is 660323601.

It is a super-2 number, since 2×1063230662 = 22609188727280712, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 516 + ... + 14591.

It is an arithmetic number, because the mean of its divisors is an integer number (5302908).

Almost surely, 2106323066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106323066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127269792).

106323066 is an abundant number, since it is smaller than the sum of its proper divisors (148216518).

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

106323066 is a wasteful number, since it uses less digits than its factorization.

106323066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15155 (or 15152 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 106323066 is about 10311.3076765268. The cubic root of 106323066 is about 473.7426632856.

Adding to 106323066 its reverse (660323601), we get a palindrome (766646667).

The spelling of 106323066 in words is "one hundred six million, three hundred twenty-three thousand, sixty-six".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 102 138 153 207 306 391 414 782 1173 2346 3519 7038 15107 30214 45321 90642 135963 256819 271926 347461 513638 694922 770457 1042383 1540914 2084766 2311371 3127149 4622742 5906837 6254298 11813674 17720511 35441022 53161533 106323066