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106204200 = 23352177007
BaseRepresentation
bin1100101010010…
…00110000101000
321101211201202220
412111020300220
5204142013300
614312154040
72426502144
oct625106050
9241751686
10106204200
1154a49873
122b698920
131900672b
1410168224
1594ccda0
hex6548c28

106204200 has 48 divisors (see below), whose sum is σ = 329234880. Its totient is φ = 28320960.

The previous prime is 106204199. The next prime is 106204207. The reversal of 106204200 is 2402601.

It is a super-2 number, since 2×1062042002 = 22558664195280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 106204200.

It is not an unprimeable number, because it can be changed into a prime (106204207) 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, 87904 + ... + 89103.

It is an arithmetic number, because the mean of its divisors is an integer number (6859060).

Almost surely, 2106204200 is an apocalyptic number.

106204200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106204200 is an abundant number, since it is smaller than the sum of its proper divisors (223030680).

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

106204200 is a wasteful number, since it uses less digits than its factorization.

106204200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177026 (or 177017 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 106204200 is about 10305.5421982543. The cubic root of 106204200 is about 473.5660540901.

Adding to 106204200 its reverse (2402601), we get a palindrome (108606801).

The spelling of 106204200 in words is "one hundred six million, two hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 177007 354014 531021 708028 885035 1062042 1416056 1770070 2124084 2655105 3540140 4248168 4425175 5310210 7080280 8850350 10620420 13275525 17700700 21240840 26551050 35401400 53102100 106204200