105405300 has 540 divisors, whose sum is σ = 461282976. Its totient is φ = 20217600.

The previous prime is 105405283. The next prime is 105405323. The reversal of 105405300 is 3504501.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×105405300² = 22220554536180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 179 ways as a sum of consecutive naturals, for example, 8108094 + ... + 8108106.

Almost surely, 2^105405300 is an apocalyptic number.

105405300 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 105405300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230641488).

105405300 is an abundant number, since it is smaller than the sum of its proper divisors (355877676).

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

105405300 is a wasteful number, since it uses less digits than its factorization.

105405300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 105405300 is about 10266.7083332488. The cubic root of 105405300 is about 472.3756286415.

Adding to 105405300 its reverse (3504501), we get a palindrome (108909801).

The spelling of 105405300 in words is "one hundred five million, four hundred five thousand, three hundred".