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107216 = 246701
BaseRepresentation
bin11010001011010000
312110001222
4122023100
511412331
62144212
7624404
oct321320
9173058
10107216
117360a
1252068
1339a55
142b104
1521b7b
hex1a2d0

107216 has 10 divisors (see below), whose sum is σ = 207762. Its totient is φ = 53600.

The previous prime is 107209. The next prime is 107227. The reversal of 107216 is 612701.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 87616 + 19600 = 296^2 + 140^2 .

It is a super-2 number, since 2×1072162 = 22990541312, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 107194 and 107203.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3335 + ... + 3366.

2107216 is an apocalyptic number.

107216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107216 is a deficient number, since it is larger than the sum of its proper divisors (100546).

107216 is an equidigital number, since it uses as much as digits as its factorization.

107216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6709 (or 6703 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 107216 is about 327.4385438521. The cubic root of 107216 is about 47.5065180344.

Adding to 107216 its reverse (612701), we get a palindrome (719917).

It can be divided in two parts, 107 and 216, that added together give a palindrome (323).

The spelling of 107216 in words is "one hundred seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 6701 13402 26804 53608 107216