105005051 has 8 divisors (see below), whose sum is σ = 109745664. Its totient is φ = 100279080.

The previous prime is 105005009. The next prime is 105005057. The reversal of 105005051 is 150500501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105005051 - 2¹⁰ = 105004027 is a prime.

It is a super-2 number, since 2×105005051² = 22052121471025202, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105005057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12590 + ... + 19196.

It is an arithmetic number, because the mean of its divisors is an integer number (13718208).

Almost surely, 2^105005051 is an apocalyptic number.

105005051 is a deficient number, since it is larger than the sum of its proper divisors (4740613).

105005051 is an equidigital number, since it uses as much as digits as its factorization.

105005051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7321.

The product of its (nonzero) digits is 125, while the sum is 17.

The square root of 105005051 is about 10247.1972265591. The cubic root of 105005051 is about 471.7769626952.

Adding to 105005051 its reverse (150500501), we get a palindrome (255505552).

It can be divided in two parts, 10500 and 5051, that added together give a palindrome (15551).

The spelling of 105005051 in words is "one hundred five million, five thousand, fifty-one".