105056145 has 24 divisors (see below), whose sum is σ = 186541992. Its totient is φ = 54662400.

The previous prime is 105056137. The next prime is 105056173. The reversal of 105056145 is 541650501.

It is a happy number.

105056145 is a `hidden beast` number, since 10 + 50 + 561 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 219024 + 104837121 = 468^2 + 10239^2 .

It is not a de Polignac number, because 105056145 - 2³ = 105056137 is a prime.

It is a super-2 number, since 2×105056145² = 22073587204522050, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 26626 + ... + 30315.

It is an arithmetic number, because the mean of its divisors is an integer number (7772583).

Almost surely, 2^105056145 is an apocalyptic number.

105056145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105056145 is a deficient number, since it is larger than the sum of its proper divisors (81485847).

105056145 is a wasteful number, since it uses less digits than its factorization.

105056145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56993 (or 56990 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 105056145 is about 10249.6899953121. The cubic root of 105056145 is about 471.8534703274.

The spelling of 105056145 in words is "one hundred five million, fifty-six thousand, one hundred forty-five".