105005949 has 16 divisors (see below), whose sum is σ = 142699200. Its totient is φ = 68664960.

The previous prime is 105005939. The next prime is 105005969. The reversal of 105005949 is 949500501.

It is not a de Polignac number, because 105005949 - 2⁵ = 105005917 is a prime.

It is a super-2 number, since 2×105005949² = 22052498650781202, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105005909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99577 + ... + 100625.

It is an arithmetic number, because the mean of its divisors is an integer number (8918700).

Almost surely, 2^105005949 is an apocalyptic number.

It is an amenable number.

105005949 is a deficient number, since it is larger than the sum of its proper divisors (37693251).

105005949 is a wasteful number, since it uses less digits than its factorization.

105005949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660.

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 105005949 is about 10247.2410433248. The cubic root of 105005949 is about 471.7783075655.

The spelling of 105005949 in words is "one hundred five million, five thousand, nine hundred forty-nine".