105045105 has 48 divisors (see below), whose sum is σ = 190142784. Its totient is φ = 49109760.

The previous prime is 105045067. The next prime is 105045107. The reversal of 105045105 is 501540501.

It is not a de Polignac number, because 105045105 - 2⁹ = 105044593 is a prime.

It is a super-2 number, since 2×105045105² = 22068948168922050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105045107) 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 47 ways as a sum of consecutive naturals, for example, 138387 + ... + 139143.

It is an arithmetic number, because the mean of its divisors is an integer number (3961308).

Almost surely, 2^105045105 is an apocalyptic number.

105045105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105045105 is a deficient number, since it is larger than the sum of its proper divisors (85097679).

105045105 is a wasteful number, since it uses less digits than its factorization.

105045105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 105045105 is about 10249.1514282891. The cubic root of 105045105 is about 471.8369412458.

Adding to 105045105 its reverse (501540501), we get a palindrome (606585606).

The spelling of 105045105 in words is "one hundred five million, forty-five thousand, one hundred five".