105084500 has 24 divisors (see below), whose sum is σ = 229505640. Its totient is φ = 42033600.

The previous prime is 105084479. The next prime is 105084503. The reversal of 105084500 is 5480501.

It can be written as a sum of positive squares in 4 ways, for example, as 22165264 + 82919236 = 4708^2 + 9106^2 .

It is a super-2 number, since 2×105084500² = 22085504280500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105084503) 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 7 ways as a sum of consecutive naturals, for example, 104585 + ... + 105584.

It is an arithmetic number, because the mean of its divisors is an integer number (9562735).

Almost surely, 2^105084500 is an apocalyptic number.

105084500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105084500 is an abundant number, since it is smaller than the sum of its proper divisors (124421140).

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

105084500 is a wasteful number, since it uses less digits than its factorization.

105084500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210188 (or 210176 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 105084500 is about 10251.0731145573. The cubic root of 105084500 is about 471.8959181113.

The spelling of 105084500 in words is "one hundred five million, eighty-four thousand, five hundred".