105541564149 has 48 divisors (see below), whose sum is σ = 180921312000. Its totient is φ = 58008158208.

The previous prime is 105541564133. The next prime is 105541564237. The reversal of 105541564149 is 941465145501.

105541564149 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 41 + 564 + 1 + 49 = 666.

It is not a de Polignac number, because 105541564149 - 2⁴ = 105541564133 is a prime.

It is a super-2 number, since 2×105541564149² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105541564109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 370677 + ... + 590325.

It is an arithmetic number, because the mean of its divisors is an integer number (3769194000).

Almost surely, 2^105541564149 is an apocalyptic number.

It is an amenable number.

105541564149 is a deficient number, since it is larger than the sum of its proper divisors (75379747851).

105541564149 is a wasteful number, since it uses less digits than its factorization.

105541564149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219954 (or 219951 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 105541564149 in words is "one hundred five billion, five hundred forty-one million, five hundred sixty-four thousand, one hundred forty-nine".