106249 has 8 divisors (see below), whose sum is σ = 124992. Its totient is φ = 89040.

The previous prime is 106243. The next prime is 106261. The reversal of 106249 is 942601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106249 - 2⁵ = 106217 is a prime.

It is a super-2 number, since 2×106249² = 22577700002, which contains 22 as substring.

It is a Duffinian number.

106249 is a lucky number.

It is a plaindrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (106243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229 + ... + 514.

It is an arithmetic number, because the mean of its divisors is an integer number (15624).

2¹⁰⁶²⁴⁹ is an apocalyptic number.

It is an amenable number.

106249 is a deficient number, since it is larger than the sum of its proper divisors (18743).

106249 is a wasteful number, since it uses less digits than its factorization.

106249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 106249 is about 325.9585863265. The cubic root of 106249 is about 47.3632632677.

It can be divided in two parts, 1062 and 49, that added together give a palindrome (1111).

The spelling of 106249 in words is "one hundred six thousand, two hundred forty-nine".