105601149 has 24 divisors (see below), whose sum is σ = 155195040. Its totient is φ = 69183072.

The previous prime is 105601129. The next prime is 105601157. The reversal of 105601149 is 941106501.

105601149 is a `hidden beast` number, since 10 + 5 + 601 + 1 + 49 = 666.

It is not a de Polignac number, because 105601149 - 2⁷ = 105601021 is a prime.

It is a super-2 number, since 2×105601149² = 22303205340240402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105601129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278442 + ... + 278820.

It is an arithmetic number, because the mean of its divisors is an integer number (6466460).

Almost surely, 2^105601149 is an apocalyptic number.

It is an amenable number.

105601149 is a deficient number, since it is larger than the sum of its proper divisors (49593891).

105601149 is a wasteful number, since it uses less digits than its factorization.

105601149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 105601149 is about 10276.2419687355. The cubic root of 105601149 is about 472.6680144913.

The spelling of 105601149 in words is "one hundred five million, six hundred one thousand, one hundred forty-nine".