106505216 has 22 divisors (see below), whose sum is σ = 212908470. Its totient is φ = 53252096.

The previous prime is 106505209. The next prime is 106505237. The reversal of 106505216 is 612505601.

It can be written as a sum of positive squares in only one way, i.e., 65545216 + 40960000 = 8096^2 + 6400^2 .

It is a super-2 number, since 2×106505216² = 22686722070413312, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50981 + ... + 53028.

Almost surely, 2^106505216 is an apocalyptic number.

106505216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106505216 is a deficient number, since it is larger than the sum of its proper divisors (106403254).

106505216 is an equidigital number, since it uses as much as digits as its factorization.

106505216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104029 (or 104011 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 106505216 is about 10320.1364332067. The cubic root of 106505216 is about 474.0130436096.

The spelling of 106505216 in words is "one hundred six million, five hundred five thousand, two hundred sixteen".