106816 has 14 divisors (see below), whose sum is σ = 212090. Its totient is φ = 53376.

The previous prime is 106801. The next prime is 106823. The reversal of 106816 is 618601.

It can be written as a sum of positive squares in only one way, i.e., 92416 + 14400 = 304^2 + 120^2 .

It is a super-2 number, since 2×106816² = 22819315712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 771 + ... + 898.

2¹⁰⁶⁸¹⁶ is an apocalyptic number.

106816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106816 is a deficient number, since it is larger than the sum of its proper divisors (105274).

106816 is an equidigital number, since it uses as much as digits as its factorization.

106816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 106816 is about 326.8271714530. The cubic root of 106816 is about 47.4473655203.

The spelling of 106816 in words is "one hundred six thousand, eight hundred sixteen".