106305216 has 56 divisors (see below), whose sum is σ = 297820080. Its totient is φ = 33349632.

The previous prime is 106305191. The next prime is 106305229. The reversal of 106305216 is 612503601.

It is a super-2 number, since 2×106305216² = 22601597897613312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13021 + ... + 19548.

Almost surely, 2^106305216 is an apocalyptic number.

106305216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106305216 is an abundant number, since it is smaller than the sum of its proper divisors (191514864).

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

106305216 is a wasteful number, since it uses less digits than its factorization.

106305216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32601 (or 32591 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 106305216 is about 10310.4420855752. The cubic root of 106305216 is about 473.7161504441.

Adding to 106305216 its reverse (612503601), we get a palindrome (718808817).

The spelling of 106305216 in words is "one hundred six million, three hundred five thousand, two hundred sixteen".