105080500 has 72 divisors (see below), whose sum is σ = 267026760. Its totient is φ = 36019200.

The previous prime is 105080473. The next prime is 105080513. The reversal of 105080500 is 5080501.

It can be written as a sum of positive squares in 4 ways, for example, as 345744 + 104734756 = 588^2 + 10234^2 .

It is a super-2 number, since 2×105080500² = 22083822960500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 22356 + ... + 26644.

It is an arithmetic number, because the mean of its divisors is an integer number (3708705).

Almost surely, 2^105080500 is an apocalyptic number.

105080500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105080500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133513380).

105080500 is an abundant number, since it is smaller than the sum of its proper divisors (161946260).

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

105080500 is a wasteful number, since it uses less digits than its factorization.

105080500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4322 (or 4303 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 105080500 is about 10250.8780111754. The cubic root of 105080500 is about 471.8899305248.

Subtracting from 105080500 its reverse (5080501), we obtain a palindrome (99999999).

The spelling of 105080500 in words is "one hundred five million, eighty thousand, five hundred".