110149 has 8 divisors (see below), whose sum is σ = 122360. Its totient is φ = 98496.

The previous prime is 110129. The next prime is 110161. The reversal of 110149 is 941011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 44100 + 66049 = 210^2 + 257^2 .

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 110149 - 2¹³ = 101957 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110119) 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, 367 + ... + 595.

It is an arithmetic number, because the mean of its divisors is an integer number (15295).

2¹¹⁰¹⁴⁹ is an apocalyptic number.

It is an amenable number.

110149 is a deficient number, since it is larger than the sum of its proper divisors (12211).

110149 is a wasteful number, since it uses less digits than its factorization.

110149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279.

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 110149 is about 331.8870289722. The cubic root of 110149 is about 47.9358227965.

The spelling of 110149 in words is "one hundred ten thousand, one hundred forty-nine".