105057105 has 8 divisors (see below), whose sum is σ = 168091392. Its totient is φ = 56030448.

The previous prime is 105057103. The next prime is 105057119. The reversal of 105057105 is 501750501.

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

It is not a de Polignac number, because 105057105 - 2¹ = 105057103 is a prime.

It is a super-2 number, since 2×105057105² = 22073990621962050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105057103) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3501889 + ... + 3501918.

It is an arithmetic number, because the mean of its divisors is an integer number (21011424).

Almost surely, 2^105057105 is an apocalyptic number.

105057105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105057105 is a deficient number, since it is larger than the sum of its proper divisors (63034287).

105057105 is an equidigital number, since it uses as much as digits as its factorization.

105057105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7003815.

The product of its (nonzero) digits is 875, while the sum is 24.

The square root of 105057105 is about 10249.7368258897. The cubic root of 105057105 is about 471.8549075842.

The spelling of 105057105 in words is "one hundred five million, fifty-seven thousand, one hundred five".