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106200036 = 22322950001
BaseRepresentation
bin1100101010001…
…11101111100100
321101211112001200
412111013233210
5204141400121
614312122500
72426454045
oct625075744
9241745050
10106200036
1154a46728
122b696430
1319004877
14101668cc
1594cba26
hex6547be4

106200036 has 18 divisors (see below), whose sum is σ = 268450182. Its totient is φ = 35400000.

The previous prime is 106200019. The next prime is 106200041. The reversal of 106200036 is 630002601.

It is a happy number.

106200036 is a `hidden beast` number, since 10 + 620 + 0 + 0 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66585600 + 39614436 = 8160^2 + 6294^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1062000362 = 22556895292802592, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106199991 and 106200018.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1474965 + ... + 1475036.

It is an arithmetic number, because the mean of its divisors is an integer number (14913899).

Almost surely, 2106200036 is an apocalyptic number.

It is an amenable number.

106200036 is an abundant number, since it is smaller than the sum of its proper divisors (162250146).

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

106200036 is a wasteful number, since it uses less digits than its factorization.

106200036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2950011 (or 2950006 counting only the distinct ones).

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

The square root of 106200036 is about 10305.3401690580. The cubic root of 106200036 is about 473.5598648973.

Adding to 106200036 its reverse (630002601), we get a palindrome (736202637).

The spelling of 106200036 in words is "one hundred six million, two hundred thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 2950001 5900002 8850003 11800004 17700006 26550009 35400012 53100018 106200036