105056061 has 32 divisors (see below), whose sum is σ = 158323200. Its totient is φ = 61404480.

The previous prime is 105056047. The next prime is 105056069. The reversal of 105056061 is 160650501.

It is not a de Polignac number, because 105056061 - 2¹⁰ = 105055037 is a prime.

It is a super-3 number, since 3×105056061³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105056069) 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 31 ways as a sum of consecutive naturals, for example, 169410 + ... + 170028.

It is an arithmetic number, because the mean of its divisors is an integer number (4947600).

Almost surely, 2^105056061 is an apocalyptic number.

105056061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105056061 is a deficient number, since it is larger than the sum of its proper divisors (53267139).

105056061 is a wasteful number, since it uses less digits than its factorization.

105056061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 105056061 is about 10249.6858976263. The cubic root of 105056061 is about 471.8533445671.

The spelling of 105056061 in words is "one hundred five million, fifty-six thousand, sixty-one".