105149 has 8 divisors (see below), whose sum is σ = 117120. Its totient is φ = 94380.

The previous prime is 105143. The next prime is 105167. The reversal of 105149 is 941501.

It is a de Polignac number, because none of the positive numbers 2^k-105149 is a prime.

It is a super-2 number, since 2×105149² = 22112624402, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 16.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 105149.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1292 + ... + 1370.

It is an arithmetic number, because the mean of its divisors is an integer number (14640).

2¹⁰⁵¹⁴⁹ is an apocalyptic number.

It is an amenable number.

105149 is a deficient number, since it is larger than the sum of its proper divisors (11971).

105149 is an frugal number, since it uses more digits than its factorization.

105149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 105149 is about 324.2668654056. The cubic root of 105149 is about 47.1992446973.

The spelling of 105149 in words is "one hundred five thousand, one hundred forty-nine".