105606051 has 16 divisors (see below), whose sum is σ = 143817120. Its totient is φ = 68906240.

The previous prime is 105606013. The next prime is 105606077. The reversal of 105606051 is 150606501.

It is a cyclic number.

It is not a de Polignac number, because 105606051 - 2⁷ = 105605923 is a prime.

It is a super-3 number, since 3×105606051³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105601051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128221 + ... + 129041.

It is an arithmetic number, because the mean of its divisors is an integer number (8988570).

Almost surely, 2^105606051 is an apocalyptic number.

105606051 is a deficient number, since it is larger than the sum of its proper divisors (38211069).

105606051 is an equidigital number, since it uses as much as digits as its factorization.

105606051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686.

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

The square root of 105606051 is about 10276.4804772840. The cubic root of 105606051 is about 472.6753281199.

The spelling of 105606051 in words is "one hundred five million, six hundred six thousand, fifty-one".