105005000 has 40 divisors (see below), whose sum is σ = 246038430. Its totient is φ = 42000000.

The previous prime is 105004993. The next prime is 105005009. The reversal of 105005000 is 500501.

It can be written as a sum of positive squares in 5 ways, for example, as 188356 + 104816644 = 434^2 + 10238^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105005000² = 22052100050000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (11) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (105005009) 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 9 ways as a sum of consecutive naturals, for example, 5501 + ... + 15500.

Almost surely, 2^105005000 is an apocalyptic number.

105005000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105005000 is an abundant number, since it is smaller than the sum of its proper divisors (141033430).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105005000 is an equidigital number, since it uses as much as digits as its factorization.

105005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21027 (or 21008 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 11.

The square root of 105005000 is about 10247.1947380734. The cubic root of 105005000 is about 471.7768863159.

Adding to 105005000 its reverse (500501), we get a palindrome (105505501).

The spelling of 105005000 in words is "one hundred five million, five thousand".