105655149 has 24 divisors (see below), whose sum is σ = 158497560. Its totient is φ = 67740288.

The previous prime is 105655141. The next prime is 105655189. The reversal of 105655149 is 941556501.

105655149 is a `hidden beast` number, since 1 + 0 + 565 + 51 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4652649 + 101002500 = 2157^2 + 10050^2 .

It is not a de Polignac number, because 105655149 - 2³ = 105655141 is a prime.

It is a super-2 number, since 2×105655149² = 22326021020424402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105655141) 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, 82099 + ... + 83375.

It is an arithmetic number, because the mean of its divisors is an integer number (6604065).

Almost surely, 2^105655149 is an apocalyptic number.

It is an amenable number.

105655149 is a deficient number, since it is larger than the sum of its proper divisors (52842411).

105655149 is a wasteful number, since it uses less digits than its factorization.

105655149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 105655149 is about 10278.8690525758. The cubic root of 105655149 is about 472.7485682972.

The spelling of 105655149 in words is "one hundred five million, six hundred fifty-five thousand, one hundred forty-nine".