106849 has 4 divisors (see below), whose sum is σ = 108720. Its totient is φ = 104980.

The previous prime is 106823. The next prime is 106853. The reversal of 106849 is 948601.

106849 = 10² + 11² + ... + 68².

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 948601 = 47 ⋅20183.

It is a cyclic number.

It is not a de Polignac number, because 106849 - 2⁷ = 106721 is a prime.

It is a super-2 number, since 2×106849² = 22833417602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106859) by changing a digit.

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 in 3 ways as a sum of consecutive naturals, for example, 847 + ... + 964.

It is an arithmetic number, because the mean of its divisors is an integer number (27180).

2¹⁰⁶⁸⁴⁹ is an apocalyptic number.

It is an amenable number.

106849 is a deficient number, since it is larger than the sum of its proper divisors (1871).

106849 is an equidigital number, since it uses as much as digits as its factorization.

106849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870.

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 106849 is about 326.8776529529. The cubic root of 106849 is about 47.4522511861.

It can be divided in two parts, 10 and 6849, that added together give a cube (6859 = 19³).

The spelling of 106849 in words is "one hundred six thousand, eight hundred forty-nine".