105364500 has 96 divisors (see below), whose sum is σ = 323057280. Its totient is φ = 26611200.

The previous prime is 105364471. The next prime is 105364517. The reversal of 105364500 is 5463501.

It is a super-3 number, since 3×105364500³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 31 ways as a sum of consecutive naturals, for example, 26652 + ... + 30348.

It is an arithmetic number, because the mean of its divisors is an integer number (3365180).

Almost surely, 2^105364500 is an apocalyptic number.

105364500 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 105364500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161528640).

105364500 is an abundant number, since it is smaller than the sum of its proper divisors (217692780).

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

105364500 is a wasteful number, since it uses less digits than its factorization.

105364500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3738 (or 3726 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 105364500 is about 10264.7211360075. The cubic root of 105364500 is about 472.3146721467.

Subtracting from 105364500 its reverse (5463501), we obtain a palindrome (99900999).

The spelling of 105364500 in words is "one hundred five million, three hundred sixty-four thousand, five hundred".