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106241630 = 2511287803
BaseRepresentation
bin1100101010100…
…01111001011110
321101220122010012
412111101321132
5204144213010
614313043222
72430016235
oct625217136
9241818105
10106241630
1154a74a00
122b6b6512
131901a791
1410177b1c
1594d9005
hex6551e5e

106241630 has 24 divisors (see below), whose sum is σ = 210202776. Its totient is φ = 38632880.

The previous prime is 106241621. The next prime is 106241633. The reversal of 106241630 is 36142601.

It is a happy number.

It is a super-3 number, since 3×1062416303 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 106241596 and 106241605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106241633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42692 + ... + 45111.

It is an arithmetic number, because the mean of its divisors is an integer number (8758449).

Almost surely, 2106241630 is an apocalyptic number.

106241630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106241630 is a deficient number, since it is larger than the sum of its proper divisors (103961146).

106241630 is a wasteful number, since it uses less digits than its factorization.

106241630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87832 (or 87821 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 106241630 is about 10307.3580514116. The cubic root of 106241630 is about 473.6216811916.

The spelling of 106241630 in words is "one hundred six million, two hundred forty-one thousand, six hundred thirty".

Divisors: 1 2 5 10 11 22 55 110 121 242 605 1210 87803 175606 439015 878030 965833 1931666 4829165 9658330 10624163 21248326 53120815 106241630