105059505 has 16 divisors (see below), whose sum is σ = 168696000. Its totient is φ = 55831488.

The previous prime is 105059503. The next prime is 105059543. The reversal of 105059505 is 505950501.

It is not a de Polignac number, because 105059505 - 2¹ = 105059503 is a prime.

It is a super-2 number, since 2×105059505² = 22074999181690050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105059501) 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 15 ways as a sum of consecutive naturals, for example, 8130 + ... + 16619.

It is an arithmetic number, because the mean of its divisors is an integer number (10543500).

Almost surely, 2^105059505 is an apocalyptic number.

105059505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105059505 is a deficient number, since it is larger than the sum of its proper divisors (63636495).

105059505 is a wasteful number, since it uses less digits than its factorization.

105059505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25040.

The product of its (nonzero) digits is 5625, while the sum is 30.

The square root of 105059505 is about 10249.8539013978. The cubic root of 105059505 is about 471.8585006877.

The spelling of 105059505 in words is "one hundred five million, fifty-nine thousand, five hundred five".