105004500 has 48 divisors (see below), whose sum is σ = 305777472. Its totient is φ = 28000800.

The previous prime is 105004463. The next prime is 105004513. The reversal of 105004500 is 5400501.

It is a super-2 number, since 2×105004500² = 22051890040500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 105004500.

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 15 ways as a sum of consecutive naturals, for example, 33502 + ... + 36501.

It is an arithmetic number, because the mean of its divisors is an integer number (6370364).

Almost surely, 2^105004500 is an apocalyptic number.

105004500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105004500 is an abundant number, since it is smaller than the sum of its proper divisors (200772972).

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

105004500 is a wasteful number, since it uses less digits than its factorization.

105004500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70025 (or 70013 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 105004500 is about 10247.1703411234. The cubic root of 105004500 is about 471.7761374982.

The spelling of 105004500 in words is "one hundred five million, four thousand, five hundred".