106799 has 16 divisors (see below), whose sum is σ = 142080. Its totient is φ = 77760.

The previous prime is 106787. The next prime is 106801. The reversal of 106799 is 997601.

It is a cyclic number.

It is not a de Polignac number, because 106799 - 2⁴ = 106783 is a prime.

It is a super-2 number, since 2×106799² = 22812052802, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106739) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1427 + ... + 1499.

It is an arithmetic number, because the mean of its divisors is an integer number (8880).

2¹⁰⁶⁷⁹⁹ is an apocalyptic number.

106799 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

106799 is a deficient number, since it is larger than the sum of its proper divisors (35281).

106799 is a wasteful number, since it uses less digits than its factorization.

With its successor (106800) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (110).

106799 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110.

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 106799 is about 326.8011627886. The cubic root of 106799 is about 47.4448482694. Note that the first 3 decimals are identical.

The spelling of 106799 in words is "one hundred six thousand, seven hundred ninety-nine".