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106200630 = 23259071301
BaseRepresentation
bin1100101010001…
…11111000110110
321101211112212200
412111013320312
5204141410010
614312125330
72426455554
oct625077066
9241745780
10106200630
1154a47118
122b696846
1319004c13
1410166bd4
1594cbcc0
hex6547e36

106200630 has 48 divisors (see below), whose sum is σ = 276638544. Its totient is φ = 28267200.

The previous prime is 106200629. The next prime is 106200631. The reversal of 106200630 is 36002601.

It is a happy number.

106200630 is a `hidden beast` number, since 10 + 6 + 20 + 0 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (106200629) and next prime (106200631).

It is a super-2 number, since 2×1062006302 = 22557147624793800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106200631) 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, 80980 + ... + 82280.

It is an arithmetic number, because the mean of its divisors is an integer number (5763303).

Almost surely, 2106200630 is an apocalyptic number.

106200630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106200630 is an abundant number, since it is smaller than the sum of its proper divisors (170437914).

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

106200630 is a wasteful number, since it uses less digits than its factorization.

106200630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 106200630 is about 10305.3689890270. The cubic root of 106200630 is about 473.5607478035.

The spelling of 106200630 in words is "one hundred six million, two hundred thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 907 1301 1814 2602 2721 3903 4535 5442 6505 7806 8163 9070 11709 13010 13605 16326 19515 23418 27210 39030 40815 58545 81630 117090 1180007 2360014 3540021 5900035 7080042 10620063 11800070 17700105 21240126 35400210 53100315 106200630