105025532505 has 16 divisors (see below), whose sum is σ = 168885283200. Its totient is φ = 55732140288.

The previous prime is 105025532441. The next prime is 105025532509. The reversal of 105025532505 is 505235520501.

It is not a de Polignac number, because 105025532505 - 2⁶ = 105025532441 is a prime.

It is a super-3 number, since 3×105025532505³ (a number of 34 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 (105025532509) 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, 17589232 + ... + 17595201.

It is an arithmetic number, because the mean of its divisors is an integer number (10555330200).

Almost surely, 2^105025532505 is an apocalyptic number.

105025532505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105025532505 is a deficient number, since it is larger than the sum of its proper divisors (63859750695).

105025532505 is a wasteful number, since it uses less digits than its factorization.

105025532505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35184640.

The product of its (nonzero) digits is 37500, while the sum is 33.

The spelling of 105025532505 in words is "one hundred five billion, twenty-five million, five hundred thirty-two thousand, five hundred five".